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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KamGU by Vitus Bering
2021
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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) |
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topic |
optimal interpolation formulas the error functional the extremal function hilbert space оптимальные интерполяционные формулы функционал погрешности экстремальная функция гильбертово пространство Science Q |
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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 |
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1718439969644609536 |