The order of convergence of an optimal quadrature formula with derivative in the space W(2,1)2
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Publication:5081268
DOI10.2298/FIL2011835HzbMath1499.65076arXiv1908.00450MaRDI QIDQ5081268
R. G. Rasulov, Abdullo Rakhmonovich Hayotov
Publication date: 14 June 2022
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.00450
Hilbert spacediscrete argument functionoptimal quadrature formulathe error functionalthe order of convergenceS. L. Sobolev's method
Interpolation in approximation theory (41A05) Spline approximation (41A15) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Cites Work
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- Optimal quadrature formulas with positive coefficients in \(L_2^{(m)}(0, 1)\) space
- On an optimal quadrature formula in the sense of Sard
- Optimal quadrature formulas of Euler-Maclaurin type
- On the weights of Sard's quadrature formulas
- On optimal quadrature formulae
- Optimal quadratures in the sense of sard in a Hilbert space
- Best quadrature formulas at equally spaces nodes
- On an optimal quadrature formula in Sobolev space \(L^{(m)}_2(0,1)\)
- Optimal quadrature formulas in the sense of Sard in \(W_2^{(m,m-1)}\) space
- On Semicardinal Quadrature Formulae
- On Monosplines of Least Deviation and Best Quadrature Formulae
- Best Approximate Integration Formulas; Best Approximation Formulas
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