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Построение оптимальной интерполяционной формулы методом Соболева точных для тригонометрических функций

Published in Вестник КРАУНЦ Физико-математические науки • May 20, 2022
NobleIDNI0P94W91R12S05
Authors:
Kh. M. Shadimetov
,
A.K. Boltaev
,
Roman Parovik

Abstract

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 an...

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