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

dc.contributor.author	Gafiyatullina L.I.
dc.contributor.author	Salakhudinov R.G.
dc.date.accessioned	2022-02-09T20:35:46Z
dc.date.available	2022-02-09T20:35:46Z
dc.date.issued	2021
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/169285
dc.description.abstract	We establish some generalizations of theclassical inequalities by Polya–Szego and Makai about torsionalrigidity of convex domains. The main idea of the proof is in usingan exact isoperimetric inequality for Euclidean moments ofdomains. This inequality has a wide class of extremal regions andis of independent interest.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	convexdomains
dc.subject	distance to the boundary of domain
dc.subject	Euclidean moments of domainwith respect to its boundary
dc.subject	isoperimetric inequalities
dc.subject	torsional rigidity
dc.title	A Generalization of the Polia–Szego and Makai Inequalities for Torsional Rigidity
dc.type	Article
dc.relation.ispartofseries-issue	11
dc.relation.ispartofseries-volume	65
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	76
dc.source.id	SCOPUS1066369X-2021-65-11-SID85121289616

Файлы в этом документе

Размер: 99.59Kb

Формат: PDF

Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.