Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method

Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method

The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination   ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space W2(0,2)(0,1). The difference between functions...

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Bibliographic Details
Main Authors: Shadimetov, Kh.M., Boltaev, A.K., Parovik, R.I.
Format: Article
Language:English
Published: KamGU by Vitus Bering 2022-05-01
Series:Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Subjects:
extremal function
error functional
hilbert space
optimal interpolation formula
optimal coefficients
sobolev’s method
экстремальная функция
функционал погрешности
гильбертово пространство
оптимальная интерполяционная формула
оптимальные
Online Access:https://krasec.ru/ru/shadimetov381022en/

Internet

https://krasec.ru/ru/shadimetov381022en/

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