All Stories

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