Monotonicity, convexity, and inequalities for functions involving gamma function

DOI10.7153/jmi-2023-17-67arXiv2205.12530OpenAlexW4387716756MaRDI QIDQ6078445

Unnamed Author, Gen-Di Wang

Publication date: 24 October 2023

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.12530

zbMATH Keywords

gamma functioninequalitieslogarithmic convexitygeometric convexitylogarithmically complete monotonicity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities involving other types of functions (26D07)

Cites Work

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• SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS RELATED TO THE GAMMA FUNCTION
• THE GEOMETRIC CONVEXITY OF A FUNCTION INVOLVING GAMMA FUNCTION WITH APPLICATIONS
• A class of logarithmically completely monotonic functions related to the gamma function with applications
• Completely monotonic functions involving the gamma and $q$-gamma functions
• Convexity according to the geometric mean
• Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions
• Complete monotonicity and inequalites involving Gurland's ratios of gamma functions

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