A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum

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Qi, Feng (2006) A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum. Research report collection, 9 (4).

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 sum are founded, and an equivalent relation between the complete monotonicity and one of the class of inequalities is established.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17509
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords completely monotonic function, psi function, polygamma function, inequality, sum, equivalence
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