A class of functions involving the divided differences of the psi function and the polygamma functions and originating from Kershaw’s double inequality are proved to be completely monotonic. As applications of these results, the monotonicity and convexity of a function involving ratio of two gamma functions and originating from establishment of the best… (More)

Wendel-Gautschi-Kershaw’s inequalities and sufficient and necessary conditions that a class of functions involving ratio of gamma functions are logarithmically completely monotonic

F. Qi, B.-N. Guo

RGMIA Res. Rep. Coll. 10

2007

1 Excerpt

A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality

@inproceedings{Qi2009ACO,
title={A Class of Completely Monotonic Functions Involving Divided Differences of the Psi and Polygamma Functions and Some Applications},
author={Feng Qi},
year={2009}
}