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A Completely Monotonic Function Involving Divided Differences of Psi and Polygamma Functions and an Application

Qi, Feng (2006) A Completely Monotonic Function Involving Divided Differences of Psi and Polygamma Functions and an Application. Research report collection, 9 (4).

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Abstract

A function involving the divided differences of the psi function and the polygamma functions is proved to be completely monotonic. As an application of this result, the monotonicity and convexity of a function originated from establishing the best upper and lower bounds in Kershaw’s inequality is deduced.

Item Type: Article
Uncontrolled Keywords: completely monotonic function, divided difference, psi function, polygamma 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: 17 Nov 2011 02:54
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17511
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