Complete monotonicity of a function involving the divided difference of digamma functions

被引：0
|
作者：
Feng Qi
QiuMing Luo
BaiNi Guo
机构：
[1] Henan Polytechnic University,School of Mathematics and Information Science
[2] Chongqing Normal University,Department of Mathematics
来源：
Science China Mathematics | 2013年 / 56卷
关键词：
necessary and sufficient condition; completely monotonic function; logarithmically completely monotonic function; divided difference; psi function; inequality for sums; bound for the ratio of two gamma functions; 26A48; 26A51; 26D15; 33B15; 44A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the paper, necessary and sufficient conditions are provided for a function involving the divided difference of two psi functions to be completely monotonic. Consequently, a class of inequalities for sums are presented, the logarithmically complete monotonicity of a function involving the ratio of two gamma functions are derived, and two double inequalities for bounding the ratio of two gamma functions are discovered.
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收藏
页码：2315 / 2325
页数：10
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