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