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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

Provided by:
Victoria University Eprints Repository

Downloaded from
http://vuir.vu.edu.au/17529/1/sandor-gamma-3-note.pdf

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