A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums

ANZIAM J. 48 (2007), 523-532

A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums

Feng Qi
Research Institute of Mathematical Inequality Theory
Henan Polytechnic University
Jiaozuo City
Henan Province, 454010
China
qifeng618@gmail.com, qifeng618@hotmail.com

Abstract

In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sums is found, and an equivalent relation between complete monotonicity and one of the class of inequalities is established.

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