The extremal function of interpolation formulas in W2(2,0)  space

One of the main problems of computational mathematics is the optimization of computational methods in functional spaces. Optimization of computational methods are well demonstrated in the problems of the theory of interpolation formulas. In this paper, we study the problem of constructing an optimal...

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Autores principales: Boltaev, A.K., Shadimetov, Kh.M., Nuraliev, F.A.
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RU
Publicado: KamGU by Vitus Bering 2021
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Acceso en línea:https://doaj.org/article/326b8545660549a490862a9083227437
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spelling oai:doaj.org-article:326b8545660549a490862a90832274372021-11-10T10:41:03ZThe extremal function of interpolation formulas in W2(2,0)  space2079-66412079-665X10.26117/2079-6641-2021-36-3-123-132https://doaj.org/article/326b8545660549a490862a90832274372021-11-01T00:00:00Zhttp://krasec.ru/boltaev363021/https://doaj.org/toc/2079-6641https://doaj.org/toc/2079-665XOne of the main problems of computational mathematics is the optimization of computational methods in functional spaces. Optimization of computational methods are well demonstrated in the problems of the theory of interpolation formulas. In this paper, we study the problem of constructing an optimal interpolation formula in a Hilbert space. Here, using the Sobolev method, the first part of the problem is solved, i.e., an explicit expression of the square of the norm of the error functional of the optimal interpolation formulas in the Hilbert space W2(2,0) is found.Boltaev, A.K.Shadimetov, Kh.M.Nuraliev, F.A.KamGU by Vitus Beringarticleoptimal interpolation formulasthe error functionalthe extremal functionhilbert spaceоптимальные интерполяционные формулыфункционал погрешностиэкстремальная функциягильбертово пространствоScienceQENRUVestnik KRAUNC: Fiziko-Matematičeskie Nauki, Vol 2021, Iss 3, Pp 123-132 (2021)
institution DOAJ
collection DOAJ
language EN
RU
topic optimal interpolation formulas
the error functional
the extremal function
hilbert space
оптимальные интерполяционные формулы
функционал погрешности
экстремальная функция
гильбертово пространство
Science
Q
spellingShingle optimal interpolation formulas
the error functional
the extremal function
hilbert space
оптимальные интерполяционные формулы
функционал погрешности
экстремальная функция
гильбертово пространство
Science
Q
Boltaev, A.K.
Shadimetov, Kh.M.
Nuraliev, F.A.
The extremal function of interpolation formulas in W2(2,0)  space
description One of the main problems of computational mathematics is the optimization of computational methods in functional spaces. Optimization of computational methods are well demonstrated in the problems of the theory of interpolation formulas. In this paper, we study the problem of constructing an optimal interpolation formula in a Hilbert space. Here, using the Sobolev method, the first part of the problem is solved, i.e., an explicit expression of the square of the norm of the error functional of the optimal interpolation formulas in the Hilbert space W2(2,0) is found.
format article
author Boltaev, A.K.
Shadimetov, Kh.M.
Nuraliev, F.A.
author_facet Boltaev, A.K.
Shadimetov, Kh.M.
Nuraliev, F.A.
author_sort Boltaev, A.K.
title The extremal function of interpolation formulas in W2(2,0)  space
title_short The extremal function of interpolation formulas in W2(2,0)  space
title_full The extremal function of interpolation formulas in W2(2,0)  space
title_fullStr The extremal function of interpolation formulas in W2(2,0)  space
title_full_unstemmed The extremal function of interpolation formulas in W2(2,0)  space
title_sort extremal function of interpolation formulas in w2(2,0)  space
publisher KamGU by Vitus Bering
publishDate 2021
url https://doaj.org/article/326b8545660549a490862a9083227437
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