All Stories

  1. Several integral inequalities for strongly $(\alpha, m)$-convex functions
  2. An integral representation of the Gauss hypergeometric functions and its applications
  3. Several New Integral Inequalities of Hermite–Hadamard Type for Extended <em>ϕ<sub>h-s</sub></em>-Convex Functions
  4. Elegant proofs for properties of normalized remainders of Maclaurin power series expansion of exponential function
  5. On a class of extended convex functions and their integral inequalities
  6. Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions
  7. Toeplitz Operators with Radial Symbols on Weighted Pluriharmonic Bergman Spaces over Reinhardt Domains
  8. Preface to the Special Issue “Advances in Nonlinear Analysis, Analytic Number Theory, and Mathematical Inequalities”
  9. Monotonicity results of ratio between two normalized remainders of Maclaurin series expansion for square of tangent function
  10. Bivariate homogeneous functions of two parameters: Monotonicity, convexity, comparisons, and functional inequalities
  11. Closed-form formulas of two Gauss hypergeometric functions of specific parameters
  12. Decreasing property of ratio of two logarithmic expressions involving tangent function
  13. Monotonicity and positivity of several functions involving ratios and products of polygamma functions
  14. Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions †
  15. Some properties of the Catalan numbers
  16. Some properties of normalized remainders of the Maclaurin expansion for a function originating from an integral representation of the reciprocal of the gamma function
  17. Decreasing ratio between two normalized remainders of Maclaurin series expansion of exponential function
  18. CORRECTIONS TO ERRORS IN THE PAPER "HADAMARD-TYPE INEQUALITIES FOR <i>s</i>-CONVEX FUNCTIONS I" AND NEW INTEGRAL INEQUALITIES OF <i>s</i>-CONVEX FUNCTIONS IN THE SECOND SENSE
  19. Absolute monotonicity of four functions involving the second kind of complete elliptic integrals
  20. Logarithmically absolute monotonicity of the ratio between normalized remainders for a function in an integral representation of the reciprocal of the gamma function
  21. Several Derivative Formulas of Two Exponential Functions and Real Power of Hyperbolic Secant Function with a Generalization of a Formula for Specific Partial Bell Polynomials
  22. Absolute Monotonicity of Normalized Tail of Power Series Expansion of Exponential Function
  23. Power Series Expansions of Real Powers of Inverse Cosine and Sine Functions, Closed-Form Formulas of Partial Bell Polynomials at Specific Arguments, and Series Representations of Real Powers of Circular Constant
  24. Some Properties on Normalized Tails of Maclaurin Power Series Expansion of Exponential Function
  25. Розвинення функції $\ln(1+\operatorname{e}^x)$ у степеневий ряд через ета-функцію Діріхле та числа Стірлінга другого роду
  26. Monotonicity Results of Ratios Between Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine
  27. A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments
  28. Some Properties of Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine
  29. Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions
  30. Reformulations and Generalizations of Hoffman’s and Genčev’s Combinatorial Identities
  31. On normalized tails of series expansion of generating function of Bernoulli numbers
  32. Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols
  33. A logarithmically completely monotonic function and several inequalities for q-multinominal coefficients and q-multivariate beta functions
  34. On Bounds for Norms of Sine and Cosine Along a Circle on the Complex Plane
  35. Power series expansion, decreasing property, and concavity related to logarithm of normalized tail of power series expansion of cosine
  36. Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function
  37. On convexity and power series expansion for logarithm of normalized tail of power series expansion for square of tangent
  38. Necessary and sufficient conditions for a mixed bivariate mean of three parameters to be Schur m-power convex
  39. Refinements and applications of several Hermite-Hadamard type inequalities
  40. Necessary and sufficient conditions of Schur m-power convexity of a new mixed mean
  41. Power series expansion and decreasing property related to normalized remainders of power series expansion of sine
  42. On signs of certain Toeplitz-Hessenberg determinants whose elements involve Bernoulli numbers
  43. Several Functions Originating from Fisher–Rao Geometry of Dirichlet Distributions and Involving Polygamma Functions
  44. Approximation by multivariate Baskakov–Durrmeyer operators in Orlicz spaces
  45. Two Forms for Maclaurin Power Series Expansion of Logarithmic Expression Involving Tangent Function
  46. A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine
  47. Determinantal Expressions, Identities, Concavity, Maclaurin Power Series Expansions for van der Pol Numbers, Bernoulli Numbers, and Cotangent
  48. A Sufficient and Necessary Condition for the Power-Exponential Function 1+1xαx to Be a Bernstein Function and Related nth Derivatives
  49. Negativity, zeros and extreme values of several polynomials
  50. Some combinatorial identities containing central binomial coefficients or Catalan numbers*
  51. The negativity of a polynomial of degree forty-three
  52. A Brief Survey and an Analytic Generalization of the Catalan Numbers and Their Integral Representations
  53. Schur m-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means
  54. Closed-Form Formulas for the nth Derivative of the Power-Exponential Function xx
  55. Integral representations and properties of several finite sums containing central binomial coefficients
  56. Alternative Proofs for Monotonicity of Some Functions Related to Sectional Curvature of Fisher–Rao Manifold of Beta Distributions
  57. NOTES ON SOME SIMPSON TYPE INTEGRAL INEQUALITIES FOR s-GEOMETRICALLY CONVEX FUNCTIONS WITH APPLICATIONS
  58. Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
  59. Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark–İsmail’s two conjectures
  60. A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine
  61. Three identities and a determinantal formula for differences between Bernoulli polynomials and numbers
  62. Series expansions for powers of sinc function and closed-form expressions for specific partial bell polynomials
  63. A further generalization of the Catalan numbers and its explicit formula and integral representation
  64. Specific values of partial bell polynomials and series expansions for real powers of functions and for composite functions
  65. Increasing property and logarithmic convexity concerning Dirichlet beta function, Euler numbers, and their ratios
  66. Several recursive and closed-form formulas for some specific values of partial Bell polynomials
  67. Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol–Bernoulli Polynomials and Numbers, and Degenerate Apostol–Euler Polynomials and Numbers
  68. Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function
  69. Necessary and Sufficient Conditions for a Bivariate Mean of Three Parameters to Be the Schur $m$-Power Convex
  70. Several recurrence relations and identities on generalized derangement numbers
  71. Notes on several integral inequalities of Hermite–Hadamard type for s-geometrically convex functions
  72. Necessary and Sufficient Conditions for a Difference Defined by Four Derivatives of a Function Containing Trigamma Function to be Completely Monotonic
  73. Complete Monotonicity for a New Ratio of Finitely Many Gamma Functions
  74. Decreasing properties of two ratios defined by three and four polygamma functions
  75. On Degenerate Array Type Polynomials
  76. Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function
  77. MacLaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function
  78. Partial Bell Polynomials, Falling and Rising Factorials, Stirling Numbers, and Combinatorial Identities
  79. Increasing property and logarithmic convexity of two functions involving Dirichlet eta function
  80. Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution
  81. Refinements of two determinantal inequalities for positive semidefinite matrices
  82. Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of Pi
  83. Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind
  84. A further generalization of the Catalan numbers and its explicit formula and integral representation
  85. Discussions on two integral inequalities of Hermite–Hadamard type for convex functions
  86. A determinantal expression and a recursive relation of the Delannoy numbers
  87. Explicit formulas for partial Bell polynomials, Maclaurin's series expansions of real powers of inverse (hyperbolic) cosine and sine, and series representations of powers of Pi
  88. Maclaurin's series expansions of real powers of inverse (hyperbolic) cosine and sine functions with applications
  89. Lower Bound of Sectional Curvature of Fisher–Rao Manifold of Beta Distributions and Complete Monotonicity of Functions Involving Polygamma Functions
  90. Maclaurin's series expansions of real powers of inverse (hyperbolic) cosine functions and applications
  91. Two Explicit Formulas for Degenerate Peters Numbers and Polynomials
  92. A closed-form expression of a remarkable sequence of polynomials originating from a family of entire functions connecting the Bessel and Lambert functions
  93. Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios
  94. Several closed and determinantal forms for convolved Fibonacci numbers
  95. Several Determinantal Expressions of Generalized Tribonacci Polynomials and Sequences
  96. Several identities containing central binomial coefficients and derived from series expansions of powers of the arcsine function
  97. Two determinantal inequalities for positive semidefinite matrices
  98. Explicit, Determinantal, and Recurrent Formulas of Generalized Eulerian Polynomials
  99. Some properties of the Hermite polynomials
  100. A ratio of finitely many gamma functions and its properties with applications
  101. Simplifying coefficients in differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials
  102. Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function
  103. Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions
  104. Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
  105. Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices
  106. Bounds for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function
  107. Determinantal Expressions and Recursive Relations for the Bessel Zeta Function and for a Sequence Originating from a Series Expansion of the Power of Modified Bessel Function of the First Kind
  108. Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials
  109. Integral inequalities of Hermite-Hadamard type for GA-$ F $-convex functions
  110. Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic
  111. Computation of several Hessenberg determinants
  112. Monotonicity and sharp inequalities related to complete (p,q)-elliptic integrals of the first kind
  113. Refinements of Young’s Integral Inequality via Fundamental Inequalities and Mean Value Theorems for Derivatives1
  114. Several Explicit and Recurrent Formulas for Determinants of Tridiagonal Matrices via Generalized Continued Fractions
  115. Complete monotonicity of a difference constituted by four derivatives of a function involving trigamma function
  116. Complete monotonicity of a difference defined by four derivatives of a function containing trigamma function
  117. Lower Bound of Sectional Curvature of Manifold of Beta Distributions and Complete Monotonicity of Functions Involving Polygamma Functions
  118. Monotonicity and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function
  119. Necessary and sufficient conditions for two functions defined by two derivatives of a function involving trigamma function to be completely monotonic or monotonic
  120. Monotonicity of a ratio involving trigamma and tetragamma functions
  121. Geometric interpretations and reversed versions of Young's integral inequality
  122. Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold
  123. Retraction Note to: A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant
  124. A further generalization of the Catalan numbers and its explicit formula and integral representation
  125. A further generalization of the Catalan numbers and its explicit formula and integral representation
  126. Determinantal forms and recursive relations of the Delannoy two-functional sequence
  127. A further generalization of the Catalan numbers and its explicit formula and integral representation
  128. Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions
  129. From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
  130. Inequalities for generalized eigenvalues of quaternion matrices
  131. Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions
  132. Several determinantal expressions of generalized Tribonacci polynomials and sequences
  133. Several closed and determinantal forms for convolved Fibonacci numbers
  134. Computation of several Hessenberg determinants
  135. Three closed forms for convolved Fibonacci numbers
  136. Determinantal forms and recursive relations of the Delannoy two-functional sequence
  137. Special values of the Bell polynomials of the second kind for some sequences and functions
  138. Monotonicity, convexity and inequalities related to complete $(p,q,r)$-elliptic integrals and generalized trigonometric functions
  139. Closed formulas and identities on the Bell polynomials and falling factorials
  140. Monotonicity properties for a ratio of finite many gamma functions
  141. Determinantal formulas and recurrent relations for bi-periodic Fibonacci and Lucas polynomials
  142. Some properties and an application of multivariate exponential polynomials
  143. On Bounds of the Sine and Cosine along a Circle on the Complex Plane
  144. On HT-convexity and Hadamard-type inequalities
  145. Completely monotonic degree of a function involving trigamma and tetragamma functions
  146. Correction: Monotonicity and inequalities related to complete elliptic integrals of the second kind
  147. Monotonicity and inequalities related to complete elliptic integrals of the second kind
  148. Several explicit and recursive formulas for generalized Motzkin numbers
  149. Some inequalities and an application of exponential polynomials
  150. Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions
  151. Approximation by multivariate Baskakov–Kantorovich operators in Orlicz spaces
  152. Closed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers
  153. SEVERAL NEW INTEGRAL INEQUALITIES OF THE SIMPSON TYPE FOR(<i>α, S, M</i> )-CONVEX FUNCTIONS
  154. Some inequalities of the Grüss type for conformable $${\varvec{k}}$$k-fractional integral operators
  155. On bounds of the sine and cosine along straight lines on the complex plane
  156. Relations among Bell polynomials, central factorial numbers, and central Bell polynomials
  157. Simplifying coefficients in differential equations for generating function of Catalan numbers
  158. Generalizations and applications of Young’s integral inequality by higher order derivatives
  159. Equivalent theorem of approximation by linear combination of weighted Baskakov–Kantorovich operators in Orlicz spaces
  160. Monotonicity properties and inequalities related to generalized Grötzsch ring functions
  161. Generalizations of Several Inequalities Related to Multivariate Geometric Means
  162. A Closed Formula for the Horadam Polynomials in Terms of a Tridiagonal Determinant
  163. Some fractional differential equations involving generalized hypergeometric functions
  164. A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant
  165. Generalized fractional integral inequalities of Hermite–Hadamard type for ( α , m ...
  166. A Unified Generalization of the Catalan, Fuss, and Fuss–Catalan Numbers
  167. Completely monotonic degrees for a difference between the logarithmic and psi functions
  168. Determinantal expressions and recurrence relations for Fubini and Eulerian polynomials
  169. Some inequalities of the Turan type for confluent hypergeometric functions of the second kind
  170. On complete monotonicity for several classes of functions related to ratios of gamma functions
  171. Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind
  172. Simplifying coefficients in a family of nonlinear ordinary differential equations
  173. Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function
  174. Convexity and inequalities related to extended beta and confluent hypergeometric functions
  175. Generalized k-fractional conformable integrals and related inequalities
  176. Notes on two kinds of special values for the Bell polynomials of the second kind
  177. Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind
  178. Some integral transforms of the generalized k-Mittag-Leffler function
  179. The inverse of a triangular matrix and several identities of the Catalan numbers
  180. Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds
  181. Shannon Type Inequalities for Kapur’s Entropy
  182. On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces
  183. Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
  184. Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius-Euler Numbers
  185. Alternative proofs of some formulas for two tridiagonal determinants
  186. Some Properties of the Fuss–Catalan Numbers
  187. On integral inequalities of the Hermite–Hadamard type for co-ordinated (α, m1)-(s, m2)-convex functions
  188. Some Inequalities of Čebyšev Type for Conformable k-Fractional Integral Operators
  189. A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
  190. Integral Inequalities of Hermite–Hadamard Type for Extended s-Convex Functions and Applications
  191. On Bounds of the Sine and Cosine Along Straight Lines on the Complex Plane
  192. On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function
  193. Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices
  194. Several series identities involving the Catalan numbers
  195. Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function
  196. An Improper Integral, the Beta Function, the Wallis Ratio, and the Catalan Numbers
  197. Some Properties and Generalizations of the Catalan, Fuss, and Fuss-Catalan Numbers
  198. On multivariate logarithmic polynomials and their properties
  199. Simple forms for coefficients in two families of ordinary differential equations
  200. Integral Representations of the Large and Little Schröder Numbers
  201. Some identities for a sequence of unnamed polynomials connected with the Bell polynomials
  202. Integral representations for multivariate logarithmic polynomials
  203. Some new inequalities of the Grüss type for conformable fractional integrals
  204. A diagonal recurrence relation for the Stirling numbers of the first kind
  205. An integral representation, complete monotonicity, and inequalities of the Catalan numbers
  206. Lévy-Khintchine representation of Toader-Qi mean
  207. Some identities related to Eulerian polynomials and involving the Stirling numbers
  208. A representation for derangement numbers in terms of a tridiagonal determinant
  209. {Some integral inequalities of Hermite--Hadamard type for $s$-geometrically convex functions
  210. A closed form for the Stirling polynomials in terms of the Stirling numbers
  211. An explicit formula for derivative polynomials of the tangent function
  212. The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function
  213. Some properties of the divided difference of psi and polygamma functions
  214. On an Analogue of Euler Polynomials and Related to Extended Fermionic p-Adic Integrals on $$ {\mathbb{Z}}_{p} $$ ...
  215. Some Inequalities of the Bell Polynomials
  216. Some Inequalities of the Bell Polynomials
  217. Some inequalities for the Bell numbers
  218. Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
  219. Integral Representations of the Catalan Numbers and Their Applications
  220. Integral representations of bivariate complex geometric mean and their applications
  221. Simplifying differential equations concerning degenerate Bernoulli and Euler numbers
  222. Alternative proofs for summation formulas of some trigonometric series
  223. Some explicit and recursive formulas of the large and little Schröder numbers
  224. Explicit formulas and recurrence relations for higher order Eulerian polynomials
  225. Some properties of central Delannoy numbers
  226. Explicit Formulas for Special Values of the Bell Polynomials of the Second Kind and for the Euler Numbers and Polynomials
  227. Closed forms for derangement numbers in terms of the Hessenberg determinants
  228. Integral inequalities of the Hermite--Hadamard type for (alpha,m)-GA-convex functions
  229. Expansions of the exponential and the logarithm of power series and applications
  230. Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body
  231. Notes on a Family of Inhomogeneous Linear Ordinary Differential Equations
  232. Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers
  233. Two Nice Determinantal Expressions and A Recurrence Relation for the Apostol--Bernoulli Polynomials
  234. Identities of the Chebyshev Polynomials, the Inverse of a Triangular Matrix, and Identities of the Catalan Numbers
  235. A criterion to justify a holomorphic function
  236. Several Explicit and Recursive Formulas for the Generalized Motzkin Numbers
  237. Simplifying Two Families of Nonlinear Ordinary DifferentialEquations
  238. Lévy–Khintchine Representation of Toader–Qi Mean
  239. A Closed Form for the Stirling Polynomials in Terms of the Stirling Numbers
  240. Several Series Identities Involving the Catalan Numbers
  241. Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials
  242. Two explicit formulas for the generalized Motzkin numbers
  243. Hermite--Hadamard type inequalities for (alpha,m)-HA and strongly (alpha,m)-HA convex functions
  244. Integral inequalities of extended Simpson type for (alpha,m)-varepsilon-convex functions
  245. Bounding the gamma function in terms of the trigonometric and exponential functions
  246. SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS
  247. Parametric integrals, the Catalan numbers, and the beta function
  248. Some new inequalities of the Hermite���Hadamard type for extended ((s1,m1)-(s2,m2))-convex functions on co-ordinates
  249. An explicit formula for Bernoulli polynomials in terms of $\boldsymbol r$-Stirling numbers of the second kind
  250. Some properties of the Schröder numbers
  251. Some Properties of a Solution to a Family of Inhomogeneous Linear Ordinary Differential Equations
  252. Some Properties of the Hermite Polynomials and Their Squares and Generating Functions
  253. Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials
  254. A double inequality for an integral mean in terms of the exponential and logarithmic means
  255. An Improper Integral with a Square Root
  256. Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
  257. A Determinantal Expression and a Recurrence Relation for the Euler Polynomials
  258. Closed Forms for Derangement Numbers in Terms of the Hessenberg Determinants
  259. Some Integral Transforms of the Generalized k-Mittag-Leffler Function
  260. The reciprocal of the weighted geometric mean is a Stieltjes function
  261. A recovery of two determinantal representations for derangement numbers
  262. A determinantal representation for derangement numbers
  263. Some properties of the Catalan–Qi function related to the Catalan numbers
  264. Some new and explicit identities related with the Appell-type degenerate q-Changhee polynomials
  265. The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform
  266. Some Properties of a Function Originating from Geometric Probability for Pairs of Hyperplanes Intersecting with a Convex Body
  267. Properties and inequalities for the (h1, h2)- and (h1, h2, m)-GA-convex functions
  268. Three Identities of the Catalan-Qi Numbers
  269. Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers
  270. SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
  271. Hermite–Hadamard type inequalities for n-times differentiable and geometrically quasi-convex functions
  272. On the Appell type λ -Changhee polynomials
  273. Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function
  274. The harmonic and geometric means are Bernstein functions
  275. Two closed forms for the Bernoulli polynomials
  276. Integral Inequalities of Hermite–Hadamard Type for m-AH Convex Functions
  277. Bounds for the Ratio of Two Gamma Functions: from Gautschi’s and Kershaw’s Inequalities to Complete Monotonicity
  278. On some Hermite–Hadamard type inequalities for (s, QC)-convex functions
  279. A double inequality for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean
  280. Complete monotonicity of divided differences of the di- and tri-gamma functions with applications
  281. Logarithmically complete monotonicity of a function related to the Catalan-Qi function
  282. An inequality involving the gamma and digamma functions
  283. Diagonal recurrence relations, inequalities, and monotonicity related to the Stirling numbers of the second kind
  284. Integral representations and properties of some functions involving the logarithmic function
  285. Schur-convexity of the Catalan–Qi function
  286. Sharp inequalities for bounding Seiffert mean in terms of the arithmetic, centroidal, and contra-harmonic means
  287. Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers
  288. SOME NEW INTEGRAL INEQUALITIES OF HERMITE{HADAMARD TYPE FOR (α, m; P)-CONVEX FUNCTIONS ON CO-ORDINATES
  289. INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR ((α;m); log)-CONVEX FUNCTIONS ON CO-ORDINATES
  290. An Explicit Formula for the Bell Numbers in Terms of the Lah and Stirling Numbers
  291. Some inequalities for the trigamma function in terms of the digamma function
  292. Hermite-Hadamard Type Inequalities for the Product of $(\alpha, m)$-Convex Function
  293. Derivatives of tangent function and tangent numbers
  294. Some new Hermite���Hadamard type inequalities for differentiable co-ordinated convex functions
  295. REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION
  296. Some new Hermite--Hadamard type inequalities for geometrically quasi-convex functions on co-ordinates
  297. A logarithmically completely monotonic function involving the gamma function and originating from the Catalan numbers and function
  298. Hermite–Hadamard-Type Integral Inequalities for Functions Whose First Derivatives are Convex
  299. An integral representation of the Catalan numbers
  300. Several closed expressions for the Euler numbers
  301. An integral representation, some inequalities, and complete monotonicity of the Bernoulli numbers
  302. Logarithmically complete monotonicity of a power-exponential function involving the logarithmic and psi functions
  303. Explicit expressions for a family of the Bell polynomials and applications
  304. Integral inequalities of Hermite���Hadamard type for logarithmically h-preinvex functions
  305. Some best approximation formulas and inequalities for the Wallis ratio
  306. Symmetry identities of q-Bernoulli polynomials of the second kind
  307. Asymptotic Formulas and Inequalities for the Gamma Function in Terms of the Tri-Gamma Function
  308. Sharp bounds for the Neuman-Sándor mean in terms of the power and contraharmonic means
  309. Pólya type integral inequalities: Origin, variants, proofs, refinements, generalizations, equivalences, and applications
  310. On Schur m-power convexity for ratios of some means
  311. A new formula for the Bernoulli numbers of the second kind in terms of the Stirling numbers of the first kind
  312. Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions
  313. The additivity of polygamma functions
  314. A note on three variable symmetric identities for modified q-Bernoulli polynomials arising from bosonic p-adic integral on Zp
  315. A note on three variable symmetric identities for q-Euler polynomials arising from fermionic p-adic integral on Zp
  316. Sharp Inequalities for Polygamma Functions
  317. Some inequalities of Hermite-Hadamard type for m-harmonic-arithmetically convex functions
  318. A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS
  319. A class of completely monotonic functions involving the gamma and polygamma functions
  320. Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
  321. Hermite-Hadamard type inequalities for geometricallyr-convex functions
  322. Inequalities of Hermite–Hadamard type involving an s-convex function with applications
  323. An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind
  324. A double inequality for bounding Toader mean by the centroidal mean
  325. Integral representations and complete monotonicity related to the remainder of Burnside’s formula for the gamma function
  326. Some inequalities of Qi type for double integrals
  327. Complete monotonicity of a function involving the gamma function and applications
  328. Sharp bounds for Neuman-Sándor’s mean in terms of the root-mean-square
  329. Complete monotonicity of functions involving the $q$-trigamma and $q$-tetragamma functions
  330. An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions
  331. Some Integral Inequalities of Hermite-Hadamard Type for Functions Whose n-times Derivatives are (α,m)-Convex
  332. On the degree of the weighted geometric mean as a complete Bernstein function
  333. Refinements and Sharpening of some Huygens and Wilker Type Inequalities
  334. Some Hermite–Hadamard type inequalities for geometrically quasi-convex functions
  335. Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
  336. Some Inequalities for the Generalized Trigonometric and Hyperbolic Functions
  337. Complete monotonicity, completely monotonic degree, integral representations, and an inequality related to the exponential, trigamma, and modified Bessel functions
  338. Absolute monotonicity of a function involving the exponential function
  339. Complete monotonicity of a function involving the p-psi function and alternative proofs
  340. COMPLETE MONOTONICITY OF A DIFFERENCE BETWEEN THE EXPONENTIAL AND TRIGAMMA FUNCTIONS
  341. Hermite–Hadamard type inequalities for extended s-convex functions on the co-ordinates in a rectangle
  342. Some new inequalities of Simpson type for strongly $$\varvec{s}$$ s -convex functions
  343. Some inequalities of Hermite-Hadamard type for $r$-$\varphi$-preinvex functions
  344. Hermite-Hadamard Type Inequalities for (m, h1, h2)-Convex Functions Via Riemann-Liouville Fractional Integrals
  345. Some inequalities for ( h , m ) -convex functions
  346. Integral inequalities of Hermite-Hadamard type for functions whose derivatives are α-preinvex
  347. Hermite--Hadamard type inequalities for geometric-arithmetically $s$-convex functions
  348. Hermite-Hadamard type inequalities for n-times differentiable and preinvex functions
  349. Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
  350. Sharp inequalities for the psi function and harmonic numbers
  351. Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
  352. Some identities and an explicit formula for Bernoulli and Stirling numbers
  353. The Function (b x − a x )∕x: Ratio’s Properties
  354. Lévy-Khintchine representation of the geometric mean of many positive numbers and applications
  355. Schur-harmonic convexity for differences of some special means in two variables
  356. The best bounds for Toader mean in terms of the centroidal and arithmetic means
  357. A unified proof of several inequalities and some new inequalities involving Neuman-S\'andor mean
  358. An integral representation for the weighted geometric mean and its applications
  359. Bounds for the ratio of two gamma functions: from Wendel’s asymptotic relation to Elezović-Giordano-Pečarić’s theorem
  360. Monotonicity results and inequalities for the inverse hyperbolic sine function
  361. Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex
  362. Convexity of the generalized sine function and the generalized hyperbolic sine function
  363. Integral representations and properties of Stirling numbers of the first kind
  364. Some Integral Inequalities on Time Scales
  365. Lévy–Khintchine Representations of the Weighted Geometric Mean and the Logarithmic Mean
  366. A completely monotonic function involving the tri- and tetra-gamma functions
  367. Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions
  368. Some inequalities for (s1;m1)-(s2;m2)-convex functions on the co-ordinates
  369. On proofs for monotonicity of a function involving the psi and exponential functions
  370. Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function
  371. Some exact constants for the approximation of the quantity in the Wallis’ formula
  372. Complete monotonicity of a function involving the divided difference of digamma functions
  373. COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE DIVIDED DIFFERENCE OF PSI FUNCTIONS
  374. Some Hermite-Hadamard type inequalities for functions whose n-th derivatives are (α, m)-convex
  375. Inequalities of Hermite-Hadamard type for convex functions which are n-times differentiable
  376. Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions
  377. Some Hermite–Hadamard type inequalities for log-h-convex functions
  378. Some integral inequalities of Simpson type for GA-ɛ-convex functions
  379. Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
  380. Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities
  381. Convergence, monotonicity, and inequalities of sequences involving continued powers
  382. Some Inequalities for Multiple Integrals on then-Dimensional Ellipsoid, Spherical Shell, and Ball
  383. Some Hermite-Hadamard type inequalities for n-time differentiable "Equation missing" -convex functions
  384. Schur-harmonic convexity for differences of some means
  385. Some new integral inequalities
  386. Some properties of a class of functions related to completely monotonic functions
  387. Complete monotonicity of two functions involving the tri-and tetra-gamma functions
  388. Monotonicity of functions connected with the gamma function and the volume of the unit ball
  389. Refinements of lower bounds for polygamma functions
  390. A class of logarithmically completely monotonic functions related to the gamma function with applications
  391. Some new inequalities of Hermite–Hadamard type forn-time differentiable functions which arem-convex
  392. Generalizations of Hermite–Hadamard inequality ton-time differentiable functions which ares-convex in the second sense
  393. A completely monotonic function involving the tri-gamma function and with degree one
  394. Monotonicity and logarithmic convexity relating to the volume of the unit ball
  395. A refinement of a double inequality for the gamma function
  396. Sharpening and generalizations of Shafer's inequality for the arc sine function
  397. Hermite–Hadamard type inequalities for the m- and (α, m)-geometrically convex functions
  398. Bounds for the ratio of two gamma functions---From Wendel's and related inequalities to logarithmically completely monotonic functions
  399. Complete monotonicity of a function involving the ratio of gamma functions and applications
  400. Some Inequalities of Hermite-Hadamard Type for Functions Whose 3rd Derivatives Are <i>P</i>-Convex
  401. On Integral Inequalities of Hermite‐Hadamard Type for s ‐Geometrically Convex Functions
  402. Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
  403. Some sharp inequalities involving Seiffert and other means and their concise proofs
  404. Logarithmic convexity of Gini means
  405. A simple proof of Oppenheim's double inequality relating to the cosine and sine functions
  406. Several integral inequalities on time scales
  407. Sharp bounds for harmonic numbers
  408. An extension of an inequality for ratios of gamma functions
  409. A class of completely monotonic functions involving divided differences of the polygamma functions
  410. An alternative proof of Elezović-Giordano-Pečarić's theorem
  411. The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values
  412. Some bounds for the complete elliptic integrals of the first and second kinds
  413. Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
  414. Some logarithmically completely monotonic functions related to the gamma function
  415. A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE GAMMA FUNCTION
  416. Some properties of extended remainder of binet’s first formula for logarithm of gamma function
  417. Generalizations of some classical inequalities via a special functional property
  418. Complete monotonicity of some functions involving polygamma functions
  419. Some properties of functions related to the gamma and psi functions
  420. Two new proofs of the complete monotonicity of a function involving the psi function
  421. Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic
  422. Bounds for the Ratio of Two Gamma Functions
  423. Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications
  424. Properties and applications of a function involving exponential functions
  425. A class of logarithmically completely monotonic functions associated with the gamma function
  426. A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi–Kershaw’s inequality
  427. Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values
  428. A simple proof of logarithmic convexity of extended mean values
  429. Several q-integral inequalities
  430. Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems
  431. Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function
  432. Wendel’s and Gautschi’s inequalities: Refinements, extensions, and a class of logarithmically completely monotonic functions
  433. A new upper bound in the second Kershaw's double inequality and its generalizations
  434. A generalization of van der Corput’s inequality
  435. Monotonicity and logarithmic concavity of two functions involving exponential function
  436. Darboux’s formula with integral remainder of functions with two independent variables
  437. A new lower bound in the second Kershaw's double inequality
  438. Alternative proofs for inequalities of some trigonometric functions
  439. Supplements to a class of logarithmically completely monotonic functions associated with the gamma function
  440. FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION
  441. A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequality
  442. A class ofk-log-convex functions and their applications to some special functions
  443. A general refinement of Jordan's inequality and a refinement of L. Yang's inequality
  444. SOME COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE GAMMA AND POLYGAMMA FUNCTIONS
  445. Refinements, extensions and generalizations of the second Kershaw's double inequality
  446. A new refinement of Young's inequality
  447. New Generalizations of an Integral Inequality
  448. Some integral inequalities on time scales
  449. A function involving gamma function and having logarithmically absolute convexity
  450. Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic
  451. Sums of series of Rogers dilogarithm functions
  452. A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality
  453. Three classes of logarithmically completely monotonic functions involving gamma and psi functions
  454. Monotonicity result for generalized logarithmic means
  455. Logarithmically completely monotonic functions concerning gamma and digamma functions
  456. A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums
  457. LOGARITHMIC CONVEXITY OF THE ONE-PARAMETER MEAN VALUES
  458. Complete monotonicity of the logarithmic mean
  459. Some New Bounds for Mathieu's Series
  460. On a new generalization of Martins' inequality
  461. Monotonicity of ratio between the generalized logarithmic means
  462. A mononotonicity result of a function involving the gamma function
  463. More notes on a functional equation
  464. Logarithmically completely monotonic functions relating to the gamma function
  465. Two logarithmically completely monotonic functions connected with gamma function
  466. 90.41 Introducing the Dirac delta function
  467. Monotonicity Properties and Inequalities of Functions Related to Means
  468. Note on Alzer's inequality
  469. Some completely monotonic functions involving the gamma and polygamma functions
  470. Monotonicity of sequences involving convex function and sequence
  471. Monotonicity of sequences involving geometric means of positive sequences with monotonicity and logarithmical convexity
  472. The best bounds in Gautschi-Kershaw inequalities
  473. An extension and a refinement of van der Corput′s inequality
  474. An alternative note on the Schur-convexity of the extended mean values
  475. Some completely monotonic functions involving polygamma functions and an application
  476. A Note on Schur-Convexity of Extended Mean Values
  477. Generalization of an inequality of Alzer for negative powers
  478. NOTES ON THE SCHUR-CONVEXITY OF THE EXTENDED MEAN VALUES
  479. Some New Iyengar Type Inequalities
  480. Extension of an Inequality of H. Alzer for Negative Powers
  481. The best bounds in Wallis' inequality
  482. Generalization and Refinements of Hermite-Hadamard's Inequality
  483. Notes on double inequalities of Mathieu′s series
  484. Note on weighted Carleman-type inequality
  485. A complete monotonicity property of the gamma function
  486. Some notes on a functional equation
  487. A lower bound for ratio of power means
  488. Inequalities of some trigonometric functions
  489. AN INEQUALITY BETWEEN RATIO OF THE EXTENDED LOGARITHMIC MEANS AND RATIO OF THE EXPONENTIAL MEANS
  490. INEQUALITIES AND MONOTONICITY FOR THE RATIO OF GAMMA FUNCTIONS
  491. On a Generalization of Martins' Inequality
  492. On new proofs of Wilker's inequalities involving trigonometric functions
  493. Generalizations of Bernoulli numbers and polynomials
  494. Inequalities involving the sequence ∛(a + ∛(a+...+ ∛(a)))
  495. Generalizations of Euler numbers and polynomials
  496. Some new Steffensen pairs
  497. Estimates of an integral in terms of the $L^p$-norm of the $(n+1)$st derivative of its integrand
  498. Monotonicity of sequences involving convex and concave functions
  499. Inequalities and monotonicity of the ratio of the geometric means of a positive arithmetic sequence with unit difference
  500. On Steffensen pairs
  501. Logarithmic convexity of extended mean values
  502. Generalization of Bernoulli polynomials
  503. An inductive proof for an identity involving (n k) and the partial sums of some series
  504. Monotonicity results and inequalities for the gamma and incomplete gamma functions
  505. Evaluation of a class of definite integrals
  506. Inequalities for Generalized Weighted Mean Values of Convex Function
  507. Inequalities for a Weighted Multiple Integral
  508. New proofs of weighted power mean inequalities and monotonicity for generalized weighted mean values
  509. On a new generalization of Alzer's inequality
  510. Generalization of H. Alzer's Inequality
  511. Note on monotonicity of generalized weighted mean values
  512. Inequalities for the Incomplete Gamma and Related Functions
  513. Inequalities for a multiple integral
  514. Recursion Formulae for $\sum^n_{m=1} m^k$
  515. Some Inequalities of the Incomplete Gamma and Related Functions
  516. A new proof of monotonicity for extended mean values
  517. Some inequalities constructed by Tchebysheff's integral inequality
  518. The function $(b^x-a^x)/x$: inequalities and properties
  519. Refinements and Extensions of an Inequality, III
  520. Generalized weighted mean values with two parameters
  521. A Simple Proof of Monotonicity for Extended Mean Values
  522. Refinements and Extensions of an Inequality, II
  523. 80.22 Inequalities for an Integral