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Optimal Quadrature Formulas for Calculating Integrals of Rapidly Oscillating Functions

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Based on optimal quadrature formulas in spaces of periodic functions, we construct optimal Hermite type quadrature formulas in spaces of functions with square summable second- and third-order derivatives. We obtain sharp upper estimates for the optimal quadrature formulas constructed for calculating integrals of rapidly oscillating functions.

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Authors and Affiliations

  1. Tashkent State Transport University, 1, Odilkhodjaev St., 100167, Tashkent, Uzbekistan

    Kholmat Shadimetov

  2. Romanovsky Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, 9, University St., 100174, Tashkent, Uzbekistan

    Kholmat Shadimetov & Otabek Gulomov

  3. Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 39, Kari-Niyazi St., 100000, Tashkent, Uzbekistan

    Otabek Gulomov

Authors
  1. Kholmat Shadimetov
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  2. Otabek Gulomov
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Correspondence to Kholmat Shadimetov.

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International Mathematical Schools. Vol. 6. Mathematical Schools in Uzbekistan

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Shadimetov, K., Gulomov, O. Optimal Quadrature Formulas for Calculating Integrals of Rapidly Oscillating Functions. J Math Sci 277, 446–457 (2023). https://doi.org/10.1007/s10958-023-06848-6

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  • DOI: https://doi.org/10.1007/s10958-023-06848-6

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