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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
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- Article
- NonPeerReviewed
- 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
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Last time updated on 28/06/2013
This paper was published in Victoria University Eprints Repository.
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