The discrete analogue of a differential operator and its applications
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Publication:406617
DOI10.1007/s10986-014-9244-xzbMath1296.65044OpenAlexW2042731363MaRDI QIDQ406617
Publication date: 8 September 2014
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-014-9244-x
Hilbert spacedifferential operatordiscrete analoguediscrete argument functionsinterpolation spline minimizing seminormoptimal quadrature formula
Discrete version of topics in analysis (39A12) Interpolation in approximation theory (41A05) Spline approximation (41A15) Numerical quadrature and cubature formulas (65D32)
Related Items (5)
Approximate solution of a singular integral equation using the Sobolev method ⋮ Optimal quadratures in the sense of sard in a Hilbert space ⋮ 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)
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- Interpolation by multidimensional periodic splines
- Optimal quadrature formulas in the sense of Sard in \(W_2^{(m,m-1)}\) space
- 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
- Best Approximate Integration Formulas; Best Approximation Formulas
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