A Generalization of the Polia-Szego and Makai Inequalities for Torsional Rigidity

被引：0

作者：

Gafiyatullina, L., I ^{[1
]}

Salakhudinov, R. G. ^{[1
]}

机构：

[1] Kazan Fed Univ, 18 Kremlyovskaya Str, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2021年 / 65卷 / 11期

关键词：

torsional rigidity; Euclidean moments of domain; with respect to its boundary; isoperimetric inequalities; convex; domains; distance to the boundary of domain;

D O I：

10.3103/S1066369X21110086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish some generalizations of the classical inequalities by Polya-Szego and Makai about torsional rigidity of convex domains. The main idea of the proof is in using an exact isoperimetric inequality for Euclidean moments of domains. This inequality has a wide class of extremal regions and is of independent interest.

引用

页码：76 / 80

页数：5

共 12 条

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