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ON THE BOUNDS OF THE PERIMETER OF AN ELLIPSE

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【Author】 Tiehong ZHAO;Miaokun WANG;Yuming CHU;Department of Mathematics,Hangzhou Normal University;Department of Mathematics,Huzhou University;

【通讯作者】褚玉明;

【机构】 Department of Mathematics,Hangzhou Normal University； Department of Mathematics,Huzhou University；

【摘要】 In this paper,we present new bounds for the perimeter of an ellipse in terms of harmonic,geometric,arithmetic and quadratic means;these new bounds represent improvements upon some previously known results.更多还原

【Abstract】 In this paper,we present new bounds for the perimeter of an ellipse in terms of harmonic,geometric,arithmetic and quadratic means;these new bounds represent improvements upon some previously known results.更多还原

【关键词】 Gaussian hypergeometric function； complete elliptic integral； ellipse； perimeter；
【Key words】 Gaussian hypergeometric function； complete elliptic integral； ellipse； perimeter；

【基金】 supported by the Natural Science Foun-dation of China (11971142);the Natural Science Foundation of Zhejiang Province (LY19A010012)

【文献出处】 Acta Mathematica Scientia ,数学物理学报 , 编辑部邮箱 ,2022年02期

【分类号】O172.2
【下载频次】15

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