A subadditive property of the gamma function.

DOI10.1016/S0022-247X(03)00425-6zbMath1129.33300MaRDI QIDQ1410264

Stephan Ruscheweyh, Horst Alzer

Publication date: 14 October 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (17)

Complete monotonicity of some functions involving polygamma functions ⋮ Sub- and superadditive properties of Euler's gamma function ⋮ On some properties of digamma and polygamma functions ⋮ Inequalities for the harmonic numbers ⋮ Inequalities involving the multiple psi function ⋮ Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold ⋮ Error function inequalities ⋮ Inequalities for Euler's gamma function ⋮ Sub- and super-additive properties of the psi function ⋮ Monotonicity properties of the Riemann zeta function ⋮ Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\) ⋮ Gamma function inequalities ⋮ Inequalities for weighted arithmetic and geometric means ⋮ A superadditive property of Hadamard's gamma function ⋮ Concavity and sharp inequalities for a recursive sequence arising in game theory ⋮ Inequalities involving \(q\)-analogue of multiple psi functions ⋮ New inequalities for gamma and digamma functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal superadditive extensions of superadditive functions
• Mittelwertungleichungen für Lösungen gewisser Differenzengleichungen. (Mean value inequalities for solutions of certain difference equations)
• A submultiplicative property of the psi function
• Some remarks on submultiplicative Orlicz functions
• Multiplicative properties of real functions with applications to classical functions
• Superadditivity inequalities
• Some function classes related to the class of convex functions
• Some Generalizations for a Theorem by Landau
• Tests for the Superadditivity of Functions
• From Wythoff's Nim to Chebyshev's Inequality
• Superadditive Functions and a Statistical Application
• Inequalities for the Polygamma Functions
• Determinantal inequalities for the psi function
• Inequalities concerning the function π(x): Applications
• Some Relationships Between Locally Super-Additive Functions and Convex Functions
• On some inequalities for the gamma and psi functions
• Inequalities: theory of majorization and its applications
• A functional inequality
• Subadditive functions
• Mean-value inequalities for the polygamma functions

This page was built for publication: A subadditive property of the gamma function.