Bounds for complete elliptic integrals of the second kind with applications

被引：54

作者：

Chu, Yu-Ming ^{[1
]}

Wang, Miao-Kun ^{[2
]}

Qiu, Song-Liang ^{[3
]}

Jiang, Yue-Ping ^{[2
]}

机构：

[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[3] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 07期

关键词：

Complete elliptic integrals; Toader mean; Perimeter of an ellipse; INEQUALITIES;

D O I：

10.1016/j.camwa.2011.12.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some sharp bounds for complete elliptic integrals of the second kind. As applications, we establish several inequalities for the perimeter of an ellipse. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1177 / 1184

页数：8

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