Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic

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Qi, Feng and Guo, Bai-Ni (2007) Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic. Research report collection, 10 (1).

Abstract

In the article, sufficient and necessary conditions that a class of functions involving ratio of Euler’s gamma functions and originating from Wendel-Gautschi-Kershaw’s double inequalities are logarithmically completely monotonic are presented. From this, Wendel-Gautschi-Kershaw’s double inequalities are refined, extended and sharpened.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17529
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords sufficient and necessary condition, logarithmically completely monotonic function, Gautschi's double inequality, Kershaw's double inequality, Wendel's double inequality, ratio of gamma functions, elementary function involving the exponential function, monotonicity, refinement, sharpening, extension
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