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A New Lower Bound in the Second Kershaw's Double Inequality

Qi, Feng (2007) A New Lower Bound in the Second Kershaw's Double Inequality. Research report collection, 10 (1).

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Abstract

In the paper, a new and elegant lower bound in the second Kershaw’s double inequality is established, some alternative simple and polished proofs are given, several deduced functions involving the gamma and psi functions are proved to be decreasingly monotonic and logarithmically completely monotonic, and some remarks and comparisons are stated.

Item Type: Article
Uncontrolled Keywords: Kershaw's double inequality, logarithmically completely monotonic function, gamma function, psi function, lower bound, inequality, comparison, logarithmic mean
Subjects: FOR Classification > 0101 Pure Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 16 Nov 2011 05:37
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17522
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