All Stories

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