A simple upper bound for the perimeter of an ellipse
Classical Analysis and ODEs
2022-05-26 v1
Abstract
We propose a simple derivation of an upper bound for the perimeter of an ellipse. The procedure, which relies on the use of elliptic integrals, consists in introducing, via inequalities and convexity properties, specific integrals which can be calculated analytically.
Keywords
Cite
@article{arxiv.2205.12266,
title = {A simple upper bound for the perimeter of an ellipse},
author = {Jean-Christophe Pain},
journal= {arXiv preprint arXiv:2205.12266},
year = {2022}
}