ON THE BOUNDS OF THE PERIMETER OF AN ELLIPSE

doi:10.1007/s10473-022-0204-y

摘要/Abstract

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.

关键词: Gaussian hypergeometric function, complete elliptic integral, ellipse, perimeter

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.

Key words: Gaussian hypergeometric function, complete elliptic integral, ellipse, perimeter

中图分类号:

26E60

赵铁洪, 王淼坤, 褚玉明. ON THE BOUNDS OF THE PERIMETER OF AN ELLIPSE[J]. 数学物理学报(英文版), 2022, 42(2): 491-501.

Tiehong ZHAO, Miaokun WANG, Yuming CHU. ON THE BOUNDS OF THE PERIMETER OF AN ELLIPSE[J]. Acta mathematica scientia,Series B, 2022, 42(2): 491-501.

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