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

By Feng Qi and Bai-Ni Guo

Abstract

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

Topics: 0101 Pure Mathematics, 0103 Numerical and Computational Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), 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
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2007
OAI identifier: oai:eprints.vu.edu.au:17529

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