KFU. Card publication. Two-Sided Estimate for the Torsional Rigidity of Convex Domain Generalizing the Polya?Szeg? and Makai Inequalities

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FEDERAL UNIVERSITY

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TWO-SIDED ESTIMATE FOR THE TORSIONAL RIGIDITY OF CONVEX DOMAIN GENERALIZING THE POLYA?SZEG? AND MAKAI INEQUALITIES

Form of presentation

Articles in international journals and collections

Year of publication

2022

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Authors, employees of KFU

Gafiyatullina Liliya Ilgizyarovna, author

Salakhudinov Rustem Gumerovich, author

Bibliographic description in the original language

Salakhudinov R.G, Gafiyatullina L.I., Two-Sided Estimate for the Torsional Rigidity of Convex Domain Generalizing the Polia-Szego and Makai Inequalities//Lobachevskii Journal of Mathematics. - 2022. - Vol.43, Is.10. - P.3020-3032.

Annotation

We establish generalizations of the classical Polya–Szego and Makai inequalities which ¨ estimate the torsional rigidity of a convex domain. The main idea of the proof is to apply a new exact isoperimetric inequality for Euclidean moments of a domain with respect to its boundary. This inequality has a wide class of extremal domains and is of independent interest itself.

Keywords

torsional rigidity, Euclidean moments of a domain with respect to its boundary, isoperimetric inequality, convex domain, distance function to the boundary of domain

The name of the journal

Lobachevskii Journal of Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85147772357&doi=10.1134%2fS199508022213039X&partnerID=40&md5=114b023897759b8ce4b33e5f6254c595

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=279256&p_lang=2

Resource files

File name	Size (MB)	Format
F_Publ_2022_LJM.pdf	0,90	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Gafiyatullina Liliya Ilgizyarovna	ru_RU
dc.contributor.author	Salakhudinov Rustem Gumerovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Salakhudinov R.G, Gafiyatullina L.I., Two-Sided Estimate for the Torsional Rigidity of Convex Domain Generalizing the Polia-Szego and Makai Inequalities//Lobachevskii Journal of Mathematics. - 2022. - Vol.43, Is.10. - P.3020-3032.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=279256&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	We establish generalizations of the classical Polya–Szego and Makai inequalities which ¨ estimate the torsional rigidity of a convex domain. The main idea of the proof is to apply a new exact isoperimetric inequality for Euclidean moments of a domain with respect to its boundary. This inequality has a wide class of extremal domains and is of independent interest itself.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	torsional rigidity	ru_RU
dc.subject	Euclidean moments of a domain with respect to its boundary	ru_RU
dc.subject	isoperimetric inequality	ru_RU
dc.subject	convex domain	ru_RU
dc.subject	distance function to the boundary of domain	ru_RU
dc.title	Two-Sided Estimate for the Torsional Rigidity of Convex Domain Generalizing the Polya?Szeg? and Makai Inequalities	ru_RU
dc.type	Articles in international journals and collections	ru_RU