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.
Formato:	article
Lenguaje:	EN RU
Publicado:	KamGU by Vitus Bering 2021
Materias:	optimal interpolation formulas the error functional the extremal function hilbert space оптимальные интерполяционные формулы функционал погрешности экстремальная функция гильбертово пространство Science Q
Acceso en línea:	https://doaj.org/article/326b8545660549a490862a9083227437
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id	oai: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
work_keys_str_mv	AT boltaevak theextremalfunctionofinterpolationformulasinw220space AT shadimetovkhm theextremalfunctionofinterpolationformulasinw220space AT nuralievfa theextremalfunctionofinterpolationformulasinw220space AT boltaevak extremalfunctionofinterpolationformulasinw220space AT shadimetovkhm extremalfunctionofinterpolationformulasinw220space AT nuralievfa extremalfunctionofinterpolationformulasinw220space
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The extremal function of interpolation formulas in W2(2,0) space

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