A mean-value inequality for the Gamma function

DOI10.1016/S0893-9659(99)00173-1zbMath0970.33001MaRDI QIDQ1975292

Horst Alzer

Publication date: 15 July 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

inequalitiesbest boundsweighted geometric meansgamma and psi function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Inequalities involving other types of functions (26D07)

Related Items

A substantial improvement of the Stirling formula ⋮ Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\)

Cites Work

• Mittelwertungleichungen für Lösungen gewisser Differenzengleichungen. (Mean value inequalities for solutions of certain difference equations)
• Leonhard Euler's Integral: A Historical Profile of the Gamma Function: In Memoriam: Milton Abramowitz
• A Stochastic Approach to the Gamma Function
• On some inequalities for the gamma and psi functions
• Unnamed Item