Construction of \(D^m\)-splines in \(L_2^{(m)}(0, 1)\) space by Sobolev method

DOI10.1016/j.amc.2014.07.033zbMath1335.65020OpenAlexW2005346028MaRDI QIDQ278397

Alberto Cabada, Abdullo Rakhmonovich Hayotov, Kholmat Mahkambaevich Shadimetov

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.033

zbMATH Keywords

Hilbert spacediscrete argument functionpolynomial splineSobolev's methodthe norm minimizing property

Mathematics Subject Classification ID

Numerical computation using splines (65D07)

Related Items (6)

Экстремальная функция интерполяционных формул в пространстве W2(2,0) ⋮ Построение оптимальной интерполяционной формулы методом Соболева точных для тригонометрических функций ⋮ Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method ⋮ 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

• Optimal quadrature formulas with positive coefficients in \(L_2^{(m)}(0, 1)\) space
• Spherical spline interpolation - basic theory and computational aspects
• Hilbertian kernels and spline functions
• A practical guide to splines
• On the weights of Sard's quadrature formulas
• Interpolation by multidimensional periodic splines
• Interpolation splines minimizing a semi-norm
• Construction of interpolation splines minimizing semi-norm in \(W_{2}^{(m,m-1)}(0,1)\) space
• Approximation by periodic spline interpolants on uniform meshes
• A Smoothest Curve Approximation
• Interpolation Processes
• Best Approximate Integration Formulas; Best Approximation Formulas
• Best Approximate Integration Formulas
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