BOUNDS OF THE PERIMETER OF AN ELLIPSE USING ARITHMETIC, GEOMETRIC AND HARMONIC MEANS

被引：13

作者：

Wang, Miao-Kun ^{[1
]}

Chu, Yu-Ming ^{[1
]}

Jiang, Yue-Ping ^{[2
]}

Qiu, Song-Liang ^{[3
]}

机构：

[1] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, 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：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 01期

关键词：

Perimeter of an ellipse; arithmetic mean; geometric mean; harmonic mean; Toader mean; ARC LENGTH; INEQUALITIES; INTEGRALS;

D O I：

10.7153/mia-17-07

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present several bounds for the perimeter of an ellipse in terms of arithmetic, geometric, and harmonic means, which improve some known results.

引用

页码：101 / 111

页数：11

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