| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2022 |
| Язык | английский |
|
Гафиятуллина Лилия Ильгизяровна, автор
Салахудинов Рустем Гумерович, автор
|
| Библиографическое описание на языке оригинала |
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. |
| Аннотация |
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. |
| Ключевые слова |
torsional rigidity, Euclidean moments of a domain with respect to
its boundary, isoperimetric inequality, convex domain, distance function to the boundary of
domain |
| Название журнала |
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 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=279256 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Гафиятуллина Лилия Ильгизяровна |
ru_RU |
| dc.contributor.author |
Салахудинов Рустем Гумерович |
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/?p_id=279256 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
EN 
中文 
ES 
Карта сайта
