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
收藏
页码：76 / 80
页数：5
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