SHARP INEQUALITIES FOR POLYGAMMA FUNCTIONS

被引：32
作者：
Guo, Bai-Ni [1 ]
Qi, Feng [2 ]
Zhao, Jiao-Lian [3 ]
Luo, Qiu-Ming [4 ]
机构：
[1] Henan Polytechn Univ, Sch Math & Informat, Jiaozuo City 454010, Henan Province, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China
[3] Weinan Teachers Univ, Dept Math & Informat, Weinan City 714000, Shaanxi Prov, Peoples R China
[4] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China
来源：
MATHEMATICA SLOVACA | 2015年 / 65卷 / 01期
关键词：
inequality; polygamma function; psi function; completely monotonic function; logarithmically completely monotonic function; TRI-GAMMA FUNCTIONS; MONOTONIC FUNCTIONS; DIVIDED DIFFERENCES; PSI; LOGARITHM; CONVEXITY; PROPERTY; DIGAMMA; BOUNDS; RATIO;
D O I：
10.1515/ms-2015-0010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, the authors review some inequalities and the (logarithmically) complete monotonicity concerning the gamma and polygamma functions and, more importantly, present a sharp double inequality for bounding the polygamma function by rational functions. (C) 2015 Mathematical Institute Slovak Academy of Sciences
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收藏
页码：103 / 120
页数：18
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