A new reverse isoperimetric inequality and its stability
type: Item
instance of: scholarly article
title: A new reverse isoperimetric inequality and its stability
zbMATH Open document ID: 1257.52005
publication date: 2012-08-31T00:00:00Z
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 52A38
zbMATH DE Number: 6074820
zbMATH Keywords: Fourier series
zbMATH Keywords: stability
zbMATH Keywords: reverse isoperimetric inequality
author: Xiang Gao
MaRDI profile type: Publication
full work available at URL: mia-15-64
OpenAlex ID: W2049647765
DOI: 10.7153/MIA-15-64
published in: Mathematical Inequalities \& Applications
review text: The author deals with the reverse isoperimetric inequality for a closed and strictly convex curve in the Euclidean plane \(\mathbb R^2\) involving the following geometric functionals associated to the given convex curve: length, areas of the region, respectively, included by the curve and the locus of curvature centers, and the integral of the radius of curvature. He also investigates the stability property of such an inequality.
reviewed by: Monika Nowicka
description: scientific article; zbMATH DE number 6074820