Optimal quadrature formulas in the sense of Sard in \(W_2^{(m,m-1)}\) space

DOI10.1007/s10092-013-0076-6zbMath1312.65035arXiv1010.5172OpenAlexW2005427863MaRDI QIDQ2017984

Abdullo Rakhmonovich Hayotov, Kholmat Mahkambaevich Shadimetov

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5172

zbMATH Keywords

quadrature formulasnumerical resulterror functionaloptimal coefficientsfixed nodesoptimal quadrature formulas in the sense of Sard

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (13)

Optimal quadratures in the sense of sard in a Hilbert space ⋮ Экстремальная функция интерполяционных формул в пространстве W2(2,0) ⋮ Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$ ⋮ The order of convergence of an optimal quadrature formula with derivative in the space W(2,1)2 ⋮ Построение оптимальной интерполяционной формулы методом Соболева точных для тригонометрических функций ⋮ The discrete analogue of a differential operator and its applications ⋮ Optimal difference formulas in the Sobolev space ⋮ OPTIMAL QUADRATURE FORMULAS FOR FOURIER COEFFICIENTS IN <i>W</i>₂^{(<i>m</i>,<i>m</i>-1)} 2 SPACE ⋮ Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space \(L_{2}^{(m)}(0,1)\) ⋮ Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method ⋮ Оптимальные формулы типа Эйлера-Маклорена для численного интегрирования в пространстве Соболева ⋮ Optimal interpolation formulas in the space \(W_2^{(m,m-1)}\) ⋮ Optimal interpolation formulas with derivative in the space L(m)2(0,1)

Cites Work

• Optimal quadrature formulas with positive coefficients in \(L_2^{(m)}(0, 1)\) space
• On an optimal quadrature formula in the sense of Sard
• On the weights of Sard's quadrature formulas
• On optimal quadrature formulae
• Optimal quadrature formula in \(K_2(P_2)\) space
• Quadrature formulae
• On Semicardinal Quadrature Formulae
• On Monosplines of Least Deviation and Best Quadrature Formulae
• On Monosplines of Least Square Deviation and Best Quadrature Formulae II
• Best Approximate Integration Formulas; Best Approximation Formulas
• Best Approximate Integration Formulas
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