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

被引：23

作者：

Qi, Feng ^{[1
]}

机构：

[1] Henan Univ, Coll Math & Informat Sci, Kaifeng City 475001, Henan Province, Peoples R China

[2] Henan Polytech Univ, Res Inst Math Inequal Theory, Jiaozuo City 454010, Henan Province, Peoples R China

来源：

ANZIAM JOURNAL | 2007年 / 48卷

关键词：

completely monotonic function; psi function; polygamma function; inequality; sum; equivalence;

D O I：

10.1017/S1446181100003199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：523 / 532

页数：10

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