Bounds for complete elliptic integrals of the second kind with applications

Authors:
Yu-Ming Chu;Miao-Kun Wang;Song-Liang Qiu;Yue-Ping Jiang
Affiliations:
Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China;College of Mathematics and Econometrics, Hunan University, Changsha 410082, China;Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China;College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

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.