Optimal quadratures in the sense of sard in a Hilbert space

DOI10.1016/j.amc.2015.02.093zbMath1390.41038OpenAlexW2045752290WikidataQ115058672 ScholiaQ115058672MaRDI QIDQ1636888

Gradimir V. Milovanović, Kholmat Mahkambaevich Shadimetov, Abdullo Rakhmonovich Hayotov

Publication date: 7 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.093

zbMATH Keywords

Hilbert spaceextremal functionerror functionaloptimal coefficientsoptimal quadrature formulas

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (6)

Оптимальные квадратурные формулы в пространстве W2(m,m−1) периодических функций ⋮ The order of convergence of an optimal quadrature formula with derivative in the space W(2,1)2 ⋮ Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev 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 ⋮ Optimal interpolation formulas with derivative in the space L(m)2(0,1)

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