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

Export

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

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
URI https://vuir.vu.edu.au/id/eprint/17511
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords completely monotonic function, divided difference, psi function, polygamma function, Kershaw's inequality
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login

CORE (COnnecting REpositories)