Problems on polygons and Bonnesen-type inequalities

2001/03/29 by A. Raouf Chouikha
Mathematics · #math.MG #math.DG #msc:51M10 #msc:51M25 #msc:52A40

paper · pdf

published as Indag. Math., N.S., 10 (4), p. 495-506 · 17 pages

arxiv created 2001/03/29 · arxiv updated 2009/11/30

Abstract

In this paper we are interested in some Bonnesen-type isoperimetric inequalities for plane n-gons in relation with the two conjectures proposed by P. Levy and X.M. Zhang.

Related

• on some discrete Bonnesen-style isoperimetric inequalities
• Bonnesen-type inequalities for surfaces of constant curvature
• Some analogues of isoperimetric inequality
• The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz inequalities
• Isoperimetric inequality for non-Euclidean polygons