Construction of interpolation splines minimizing semi-norm in \(W_{2}^{(m,m-1)}(0,1)\) space

DOI10.1007/s10543-012-0407-zzbMath1273.41007OpenAlexW2153721402MaRDI QIDQ2376866

Abdullo Rakhmonovich Hayotov, Kholmat Mahkambaevich Shadimetov

Publication date: 26 June 2013

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-012-0407-z

zbMATH Keywords

Hilbert spacediscrete argument functionSobolev's methodinterpolation splinenorm minimizing property

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (9)

Construction of \(D^m\)-splines in \(L_2^{(m)}(0, 1)\) space by Sobolev method ⋮ Экстремальная функция интерполяционных формул в пространстве W2(2,0) ⋮ Построение оптимальной интерполяционной формулы методом Соболева точных для тригонометрических функций ⋮ The discrete analogue of a differential operator and its applications ⋮ Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method ⋮ Optimal interpolation formulas in the space \(W_2^{(m,m-1)}\) ⋮ Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm) ⋮ Optimal interpolation formulas with derivative in the space L(m)2(0,1) ⋮ An exponential-trigonometric spline minimizing a seminorm in a Hilbert space

Cites Work

• Theory of exponential splines
• Hilbertian kernels and spline functions
• A practical guide to splines
• Approximation by periodic spline interpolants on uniform meshes
• A Smoothest Curve Approximation
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