Optimal quadrature formulas for calculating integrals of rapidly oscillating functions

DOI10.1007/s10958-023-06848-6OpenAlexW4389939969MaRDI QIDQ6150346

Kholmat Mahkambaevich Shadimetov, Otabek Gulomov

Publication date: 6 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06848-6

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space \(L_{2}^{(m)}(0,1)\)
• Optimal quadrature formulas for the Sobolev space \(H^1\)
• Construction of optimal interpolation formulas in the Sobolev space
• Application of optimal quadrature formulas for reconstruction of CT images
• Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space
• OPTIMAL QUADRATURE FORMULAS FOR FOURIER COEFFICIENTS IN <i>W</i>₂^{(<i>m</i>,<i>m</i>-1)} 2 SPACE

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