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The Best Bounds in Gautschi-Kershaw Inequalities

Qi, Feng and Guo, Bai-Ni and Chen, Chao-Ping (2005) The Best Bounds in Gautschi-Kershaw Inequalities. Research report collection, 8 (2).

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Abstract

By employing the convolution theorem of Laplace transforms, some asymptotic formulas and integral representations of the gamma, psi and polygamma functions, and other analytic techniques, this note provides an alternative proof of a monotonicity and convexity property by N. Elezović, C. Giordano and J. Pečarić in [4] to establish the best bounds in Gautschi- Kershaw inequalities. Moreover, some (logarithmically) complete monotonicity results on functions related to Gautschi-Kershaw inequalities are remarked.

Item Type: Article
Uncontrolled Keywords: monotonicity, convexity, gamma function, psi function, polygamma function, Gautschi-Kershaw inequality, logarithmically completely monotonic function
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 17 Nov 2011 04:39
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17427
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