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The Best Bounds in Kershaw's Inequality and Two Completely Monotonic Functions

Qi, Feng (2006) The Best Bounds in Kershaw's Inequality and Two Completely Monotonic Functions. Research report collection, 9 (4).

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Abstract

A new proof for monotonicity and convexity of a function deduced from Kershaw’s inequality involving the Wallis’ function about the Euler’s gamma function is provided. The complete monotonicity results of two functions involving the divided differences of the psi function ψ and polygamma function ψ' are established.

Item Type: Article
Uncontrolled Keywords: monotonicity, convexity, complete monotonicity, divided difference, gamma function, psi function, polygamma function, Wallis' function, Kershaw's inequality
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: 11 Feb 2012 05:00
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17585
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