Mean value inequalities for the digamma function

DOI10.1007/s10476-023-0206-6OpenAlexW4322726724MaRDI QIDQ2694882

Man Kam Kwong, Horst Alzer

Publication date: 4 April 2023

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-023-0206-6

zbMATH Keywords

mean valuedigamma functionfunctional inequalityEuler's constant

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Inequalities involving other types of functions (26D07)

Cites Work

• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• Sharp inequalities for the digamma and polygamma functions
• On some inequalities for the gamma and psi functions
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