Monotonicity and inequalities related to complete elliptic integrals of the second kind

被引：6
|
作者：
Wang, Fei [1 ]
Guo, Bai-Ni [2 ]
Qi, Feng [3 ]
机构：
[1] Zhejiang Inst Mech & Elect Engn, Dept Math, Hangzhou 310053, Zhejiang, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454010, Henan, Peoples R China
[3] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 03期
基金：
中国国家自然科学基金;
关键词：
monotonicity; inequality; complete elliptic integral of the second kind; BOUNDS; DIFFERENCE; TERMS; GAMMA;
D O I：
10.3934/math.2020176
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, the authors present some monotonicity properties of certain functions defined in terms of the complete elliptic integrals of the second kind and some elementary functions and, consequently, improve several known inequalities for the complete elliptic integrals of the second kind.
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页码：2732 / 2742
页数：11
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