Экстремальная функция интерполяционных формул в пространстве W2(2,0)

DOI10.26117/2079-6641-2021-36-3-123-132zbMath1499.65197OpenAlexW4200070449WikidataQ113703624 ScholiaQ113703624MaRDI QIDQ5071760

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Publication date: 22 April 2022

Published in: Вестник КРАУНЦ. Физико-математические науки (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vkam495

zbMATH Keywords

Hilbert spaceextremal functionerror functionaloptimal interpolation formulas

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items

Оптимальные квадратурные формулы в пространстве W2(m,m−1) периодических функций, Построение оптимальной интерполяционной формулы методом Соболева точных для тригонометрических функций

Cites Work

• Construction of \(D^m\)-splines in \(L_2^{(m)}(0, 1)\) space by Sobolev method
• Optimal quadrature formulas in the sense of Sard in \(W_2^{(m,m-1)}\) space
• Optimal interpolation formulas in the space \(W_2^{(m,m-1)}\)
• Construction of interpolation splines minimizing semi-norm in \(W_{2}^{(m,m-1)}(0,1)\) space
• On Monosplines of Least Deviation and Best Quadrature Formulae
• On Monosplines of Least Square Deviation and Best Quadrature Formulae II
• Optimal interpolation formulas with derivative in the space L(m)2(0,1)
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