Interpolation splines minimizing a semi-norm
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Publication:2017985
DOI10.1007/s10092-013-0080-xzbMath1311.41003OpenAlexW2045440765WikidataQ115058677 ScholiaQ115058677MaRDI QIDQ2017985
Abdullo Rakhmonovich Hayotov, Kholmat Mahkambaevich Shadimetov, Gradimir V. Milovanović
Publication date: 23 March 2015
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-013-0080-x
Hilbert spacediscrete argument functioninterpolation splinesA seminorm minimizing propertycoefficients of interpolation splinesdiscrete analogue of a differential operatorS.L. Sobolev's method
Related Items
Construction of \(D^m\)-splines in \(L_2^{(m)}(0, 1)\) space by Sobolev method ⋮ 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 ⋮ 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
- On an optimal quadrature formula in the sense of Sard
- Spherical spline interpolation - basic theory and computational aspects
- Hilbertian kernels and spline functions
- A practical guide to splines
- Interpolation by multidimensional periodic splines
- Approximation by periodic spline interpolants on uniform meshes
- A Smoothest Curve Approximation
- Interpolation Processes
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