OPTIMAL QUADRATURE FORMULAS FOR FOURIER COEFFICIENTS IN <i>W</i>₂^{(<i>m</i>,<i>m</i>-1)} 2 SPACE

DOI10.11948/2017076OpenAlexW2761556814MaRDI QIDQ5121526

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

Publication date: 15 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017076

zbMATH Keywords

Hilbert spaceFourier coefficientsextremal functionoptimal quadrature formulasthe error functional

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Related Items (7)

Optimal quadrature formulas for oscillatory integrals in the Sobolev space ⋮ Optimal quadrature formulas for calculating integrals of rapidly oscillating functions ⋮ Linear finite functional in the weighted Sobolev space ⋮ Application of optimal quadrature formulas for reconstruction of CT images ⋮ 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 ⋮ On an optimal quadrature formula for approximation of Fourier integrals in the space \(L_2^{( 1 )}\)

Cites Work

• Complexity of oscillatory integration for univariate Sobolev spaces
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• On the weights of Sard's quadrature formulas
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• Optimal quadrature formula in \(K_2(P_2)\) space
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