All Stories

  1. Several identities and relations related to q-analogues of Pochhammer k-symbol with applications to Fuss–Catalan–Qi numbers
  2. Determinantal Expressions, Identities, Concavity, Maclaurin Power Series Expansions for van der Pol Numbers, Bernoulli Numbers, and Cotangent
  3. A Sufficient and Necessary Condition for the Power-Exponential Function 1+1xαx to Be a Bernstein Function and Related nth Derivatives
  4. Several integral inequalities of the Hermite-Hadamard type for s-(β, F)-convex functions
  5. Hermite–Hadamard type inequalities for harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions
  6. Hermite–Hadamard’s Integral Inequalities of (α,s)-GA- and (α,s,m)-GA-Convex Functions
  7. Several Double Inequalities for Integer Powers of the Sinc and Sinhc Functions with Applications to the Neuman–Sándor Mean and the First Seiffert Mean
  8. Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means
  9. Some new integral inequalities of the Simpson type for MT-convex functions
  10. 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
  11. Partial Bell Polynomials, Falling and Rising Factorials, Stirling Numbers, and Combinatorial Identities
  12. Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions
  13. Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios
  14. Direct, Inverse, and Equivalence Theorems for Weighted Szász—Durrmeyer—Bézier Operators in Orlicz Spaces
  15. Coordinated MT- s ...
  16. Some properties of the Hermite polynomials
  17. A ratio of finitely many gamma functions and its properties with applications
  18. Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions
  19. 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
  20. Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials
  21. Inequalities of Hermite-Hadamard type for extended harmonically (s,m)-convex functions
  22. Necessary and sufficient conditions on the Schur convexity of a bivariate mean
  23. Refinements of Young’s Integral Inequality via Fundamental Inequalities and Mean Value Theorems for Derivatives1
  24. Several Explicit and Recurrent Formulas for Determinants of Tridiagonal Matrices via Generalized Continued Fractions
  25. Retraction Note to: A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant
  26. From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
  27. Closed formulas and identities on the Bell polynomials and falling factorials
  28. Some properties and an application of multivariate exponential polynomials
  29. Correction: Monotonicity and inequalities related to complete elliptic integrals of the second kind
  30. Monotonicity and inequalities related to complete elliptic integrals of the second kind
  31. Several explicit and recursive formulas for generalized Motzkin numbers
  32. Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions
  33. On GT-convexity and related integral inequalities
  34. Relations among Bell polynomials, central factorial numbers, and central Bell polynomials
  35. Generalizations and applications of Young’s integral inequality by higher order derivatives
  36. Equivalent theorem of approximation by linear combination of weighted Baskakov–Kantorovich operators in Orlicz spaces
  37. A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant
  38. Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind
  39. Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind
  40. The inverse of a triangular matrix and several identities of the Catalan numbers
  41. On integral inequalities of Hermite-Hadamard type for coordinated r-mean convex functions
  42. Shannon Type Inequalities for Kapur’s Entropy
  43. Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius-Euler Numbers
  44. On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function
  45. Integral Representations of the Large and Little Schröder Numbers
  46. Some identities for a sequence of unnamed polynomials connected with the Bell polynomials
  47. A diagonal recurrence relation for the Stirling numbers of the first kind
  48. Lévy-Khintchine representation of Toader-Qi mean
  49. Some identities related to Eulerian polynomials and involving the Stirling numbers
  50. A representation for derangement numbers in terms of a tridiagonal determinant
  51. A closed form for the Stirling polynomials in terms of the Stirling numbers
  52. An explicit formula for derivative polynomials of the tangent function
  53. Some Inequalities of the Hermite-Hadamard Type for Harmonically Quasi-Convex Functions
  54. The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function
  55. Some properties of the divided difference of psi and polygamma functions
  56. Generalizations of the Bell Numbers and Polynomials and Their Properties
  57. Some Identities for a Sequence of Unnamed Polynomials Connected with the Bell Polynomials
  58. Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
  59. Simplifying Coefficients in Differential Equations Associated with Higher Order Bernoulli Numbers of the Second Kind
  60. Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius–Euler Numbers
  61. Integral Representations of the Catalan Numbers and Their Applications
  62. Some Identities Relating to Eulerian Polynomials and Involving Stirling Numbers
  63. Simplifying differential equations concerning degenerate Bernoulli and Euler numbers
  64. Some explicit and recursive formulas of the large and little Schröder numbers
  65. Explicit formulas and recurrence relations for higher order Eulerian polynomials
  66. Some properties of central Delannoy numbers
  67. Explicit Formulas for Special Values of the Bell Polynomials of the Second Kind and for the Euler Numbers and Polynomials
  68. Closed forms for derangement numbers in terms of the Hessenberg determinants
  69. Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body
  70. Notes on a Family of Inhomogeneous Linear Ordinary Differential Equations
  71. Identities of the Chebyshev Polynomials, the Inverse of a Triangular Matrix, and Identities of the Catalan Numbers
  72. Closed Expressions of the Fibonacci Polynomials in Terms of Tridiagonal Determinants
  73. A criterion to justify a holomorphic function
  74. A Closed Form for the Stirling Polynomials in Terms of the Stirling Numbers
  75. Explicit and recursive formulas, integral representations, and properties of the large Schröder numbers
  76. An explicit formula for Bernoulli polynomials in terms of $\boldsymbol r$-Stirling numbers of the second kind
  77. Some properties of the Schröder numbers
  78. Some Properties of a Solution to a Family of Inhomogeneous Linear Ordinary Differential Equations
  79. Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials
  80. A Determinantal Expression and a Recurrence Relation for the Euler Polynomials
  81. The reciprocal of the weighted geometric mean is a Stieltjes function
  82. A recovery of two determinantal representations for derangement numbers
  83. The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform
  84. Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers
  85. SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
  86. Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function
  87. Some Generalizations of Integral Inequalities of Hermite-Hadamard Type for n-Time Differentiable Functions
  88. Complete monotonicity of divided differences of the di- and tri-gamma functions with applications
  89. Logarithmically complete monotonicity of a function related to the Catalan-Qi function
  90. An inequality involving the gamma and digamma functions
  91. REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION
  92. The additivity of polygamma functions
  93. Sharp Inequalities for Polygamma Functions
  94. A class of completely monotonic functions involving the gamma and polygamma functions
  95. Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
  96. On the degree of the weighted geometric mean as a complete Bernstein function
  97. Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
  98. Sharp inequalities for the psi function and harmonic numbers
  99. Some identities and an explicit formula for Bernoulli and Stirling numbers
  100. Some properties of functions related to certain classes of completely monotonic functions and logarithmically completely monotonic functions
  101. Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives
  102. A Class of Logarithmically Completely Monotonic Functions and Their Applications
  103. Monotonicity results and inequalities for the inverse hyperbolic sine function
  104. Logarithmically completely monotonic functions and applications
  105. A completely monotonic function involving the tri- and tetra-gamma functions
  106. On proofs for monotonicity of a function involving the psi and exponential functions
  107. Complete monotonicity of a function involving the divided difference of digamma functions
  108. Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
  109. Some properties of completely monotonic sequences and related interpolation
  110. Complete monotonicity of two functions involving the tri-and tetra-gamma functions
  111. Monotonicity of functions connected with the gamma function and the volume of the unit ball
  112. Refinements of lower bounds for polygamma functions
  113. A completely monotonic function involving the tri-gamma function and with degree one
  114. Monotonicity and logarithmic convexity relating to the volume of the unit ball
  115. A refinement of a double inequality for the gamma function
  116. Sharpening and generalizations of Shafer's inequality for the arc sine function
  117. Complete monotonicity of a function involving the ratio of gamma functions and applications
  118. Logarithmic convexity of Gini means
  119. A simple proof of Oppenheim's double inequality relating to the cosine and sine functions
  120. Sharp bounds for harmonic numbers
  121. An extension of an inequality for ratios of gamma functions
  122. A class of completely monotonic functions involving divided differences of the polygamma functions
  123. An alternative proof of Elezović-Giordano-Pečarić's theorem
  124. The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values
  125. Some bounds for the complete elliptic integrals of the first and second kinds
  126. Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
  127. Some logarithmically completely monotonic functions related to the gamma function
  128. A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE GAMMA FUNCTION
  129. Some properties of extended remainder of binet’s first formula for logarithm of gamma function
  130. Complete monotonicity of some functions involving polygamma functions
  131. Two new proofs of the complete monotonicity of a function involving the psi function
  132. Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic
  133. Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications
  134. Properties and applications of a function involving exponential functions
  135. A simple proof of logarithmic convexity of extended mean values
  136. Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems
  137. Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function
  138. Wendel’s and Gautschi’s inequalities: Refinements, extensions, and a class of logarithmically completely monotonic functions
  139. A class of logarithmically completely monotonic functions
  140. Monotonicity and logarithmic concavity of two functions involving exponential function
  141. Darboux’s formula with integral remainder of functions with two independent variables
  142. Alternative proofs for inequalities of some trigonometric functions
  143. A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequality
  144. A class ofk-log-convex functions and their applications to some special functions
  145. A function involving gamma function and having logarithmically absolute convexity
  146. Some completely monotonic functions involving the gamma and polygamma functions
  147. Monotonicity of sequences involving convex function and sequence
  148. Monotonicity of sequences involving geometric means of positive sequences with monotonicity and logarithmical convexity
  149. The best bounds in Gautschi-Kershaw inequalities
  150. Some completely monotonic functions involving polygamma functions and an application
  151. Notes on double inequalities of Mathieu′s series
  152. Some notes on a functional equation
  153. A lower bound for ratio of power means
  154. AN INEQUALITY BETWEEN RATIO OF THE EXTENDED LOGARITHMIC MEANS AND RATIO OF THE EXPONENTIAL MEANS
  155. INEQUALITIES AND MONOTONICITY FOR THE RATIO OF GAMMA FUNCTIONS
  156. On new proofs of Wilker's inequalities involving trigonometric functions
  157. Generalizations of Bernoulli numbers and polynomials
  158. Estimates of an integral in terms of the $L^p$-norm of the $(n+1)$st derivative of its integrand
  159. On Steffensen pairs
  160. Generalization of Bernoulli polynomials
  161. An inductive proof for an identity involving (n k) and the partial sums of some series
  162. Inequalities for Generalized Weighted Mean Values of Convex Function