Optimal quadrature formulae
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Publication:5460499
DOI10.1070/RM2005v060n06ABEH004280zbMath1133.41312OpenAlexW2056857967MaRDI QIDQ5460499
Publication date: 28 April 2008
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm2005v060n06abeh004280
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02)
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Optimal quadratures in the sense of sard in a Hilbert space ⋮ Optimal quadrature formulas with positive coefficients in \(L_2^{(m)}(0, 1)\) space ⋮ On the optimal recovery of integrals of set-valued functions ⋮ Optimal cubature formulas for tensor products of certain classes of functions ⋮ Optimal quadrature formulas of Euler-Maclaurin type ⋮ Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space \(L_{2}^{(m)}(0,1)\) ⋮ Optimal quadrature formula in \(K_2(P_2)\) space ⋮ Оптимальные формулы типа Эйлера-Маклорена для численного интегрирования в пространстве Соболева ⋮ Recovery of integrable functions and trigonometric series
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