A class of isoperimetric inequalities
type: Item
instance of: scholarly article
title: A class of isoperimetric inequalities
zbMATH Open document ID: 0634.42002
DOI: 10.1007/BF02792548
author: B. George
published in: Journal d'Analyse Mathématique
publication date: 1985-01-01T00:00:00Z
review text: The main aim of this paper is to obtain certain isoperimetric inequalities for a class of closed convex curves \(\Gamma\) with perimeter \(2\pi\) similar to those of \textit{H. Sachs} [Wiss. Z. Martin Luther Univ. Halle Wittenberg 8, 121-126, 127-134 (1958; Zbl 0091.356)] and \textit{R. Wegmann} [Math. Nachr. 69, 173-190 (1975; Zbl 0277.52010)].
Mathematics Subject Classification ID: 42A05
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 4032304
zbMATH Keywords: convex curves
zbMATH Keywords: harmonic continuation
zbMATH Keywords: Ullman conjecture
zbMATH Keywords: Titus conjecture
zbMATH Keywords: admissible functions
zbMATH Keywords: isoperimetric inequalities
reviewed by: S. M. Mazhar
MaRDI profile type: Publication
cites work: Q5842429
cites work: Harmonic univalent functions
cites work: On an inequality of E. Heinz
cites work: Q5814405
cites work: Q3266889
cites work: An integral inequality with applications to harmonic mappings
cites work: Extremalfiguren für eine Klasse von isoperimetrischen Problemen
description: scientific article; zbMATH DE number 4032304