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Bounds for the perimeter of an ellipse

Authors :
Yu-Ming Chu
Yue-Ping Jiang
Song-Liang Qiu
Miao-Kun Wang
Source :
Journal of Approximation Theory. 164:928-937
Publication Year :
2012
Publisher :
Elsevier BV, 2012.

Abstract

In this paper, we present several bounds for the perimeter of an ellipse, which improve some well-known results.

Subjects

Subjects :
Condensed Matter::Quantum Gases
Toader mean
Mathematics(all)
Numerical Analysis
Condensed Matter::Other
Applied Mathematics
General Mathematics
Geometry
Computer Science::Computational Geometry
Condensed Matter::Mesoscopic Systems and Quantum Hall Effect
Ellipse
Perimeter of an ellipse
Perimeter
Mathematics::Metric Geometry
Complete elliptic integrals
Analysis
Mathematics

Details

ISSN :
00219045
Volume :
164
Database :
OpenAIRE
Journal :
Journal of Approximation Theory
Accession number :
edsair.doi.dedup.....0691c4eae5bb04cafcdc12d0499050ff
Full Text :
https://doi.org/10.1016/j.jat.2012.03.011
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