On Gautschi's harmonic mean inequality for the gamma function

DOI10.1016/S0377-0427(03)00456-4zbMath1021.33002OpenAlexW1971705035MaRDI QIDQ1405195

Horst Alzer

Publication date: 25 August 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00456-4

zbMATH Keywords

gamma functioninequalitiesGautschi's conjecture

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (7)

A harmonic mean inequality for the \(q\)-gamma function ⋮ Complete monotonicity and inequalities involving the \(k\)-gamma and \(k\)-polygamma functions ⋮ A harmonic mean inequality for the polygamma function ⋮ INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED FUNCTIONS ⋮ Inequalities for Euler's gamma function ⋮ Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\) ⋮ Completely monotonic functions involving the gamma and $q$-gamma functions

Cites Work

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• Inequalities for quasiconformal mappings in space
• A power mean inequality for the gamma function
• Inequalities for the gamma function
• ON A GAMMA FUNCTION INEQUALITY OF GAUTSCHI
• A Harmonic Mean Inequality for the Gamma Function
• Some Mean Value Inequalities for the Gamma Function
• Mean-value inequalities for the polygamma functions

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