Sub- and superadditive properties of Euler's gamma function

DOI10.1090/S0002-9939-07-09057-0zbMath1126.33001MaRDI QIDQ5308133

Horst Alzer

Publication date: 27 September 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

inequalitiesconvexsub- and superadditiveGamma and psi functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15)

Related Items (15)

Multiple Gamma Functions and Their Applications ⋮ Quasilinearity of some functionals associated with monotonic convex functions ⋮ Asymptotic formulas for the triple gamma function \(\varGamma _{3}\) by means of its integral representation ⋮ Inequalities involving the multiple psi function ⋮ Sub- and super-additive properties of the psi function ⋮ Unnamed Item ⋮ Accurate Estimates of the Gamma Function Involving the PSI Function ⋮ Some monotonicity properties of gamma and \(q\)-gamma functions ⋮ Some two-sided inequalities for multiple Gamma functions and related results ⋮ QUASILINEARITY OF SOME COMPOSITE FUNCTIONALS WITH APPLICATIONS ⋮ New properties of the divided difference of psi and polygamma functions ⋮ Inequalities for weighted arithmetic and geometric means ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ Some completely monotonic functions involving the polygamma functions ⋮ Inequalities involving \(q\)-analogue of multiple psi functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal superadditive extensions of superadditive functions
• Subadditive functions and their (pseudo-)inverses
• Sublinear functions on R
• A subadditive property of the gamma function.
• Superadditivity inequalities
• Extensions of subadditive functions
• Concerning periodic subadditive functions
• Some function classes related to the class of convex functions
• Inequalities for the Hurwitz zeta function
• On Subadditive Functions
• Tests for the Superadditivity of Functions
• On separation theorems for subadditive and superadditive functionals
• Subadditive Functions and a Relaxation of the Homogeneity Condition of Seminorms
• Superadditive Functions and a Statistical Application
• Inequalities concerning the function π(x): Applications
• A Note on Subadditive Functions
• SUB- AND SUPERADDITIVE PROPERTIES OF FEJÉR'S SINE POLYNOMIAL
• Some Relationships Between Locally Super-Additive Functions and Convex Functions
• On Some Inequalities Concerning π(x)
• Analytic Inequalities
• Subadditive functions

This page was built for publication: Sub- and superadditive properties of Euler's gamma function