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Works cited by this work

12 works

Work: Optimal Quadrature Formulas for Calculating Integrals of Rapidly Oscillating Functions

  1. Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$

    Nurali D. Boltaev, A.R. Hayotov, Kh. M. Shadimetov

    ArticleMathematical functions and polynomialsNumerical Algorithms201635 citations
    ABI

  2. Application of optimal quadrature formulas for reconstruction of CT images

    A.R. Hayotov, Soomin Jeon, Kholmat Shadimetov

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics202028 citations
    ABI

  3. Construction of an Optimal Quadrature Formula in the Hilbert Space of Periodic Functions

    A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical functions and polynomialsLobachevskii Journal of Mathematics202228 citations
    ABI

  4. Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction

    A.R. Hayotov, Seok Hwi Jeon, C.-O. Lee +1

    ArticleNumerical methods in inverse problemsFilomat202127 citations
    ABI

  5. Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space

    Kholmat Shadimetov, Bakhtiyor S. Daliev

    ArticleMathematical functions and polynomialsResults in Applied Mathematics202223 citations
    ABI

  6. Construction of Optimal Interpolation Formulas in the Sobolev Space

    Kh. M. Shadimetov, A.R. Hayotov, F.A. Nuraliev

    ArticleAdvanced Numerical Analysis TechniquesJournal of Mathematical Sciences202218 citations
    ABI

  7. Optimal Quadrature Formulas for the Sobolev Space $$H^1$$ H 1

    Shun Zhang, Erich Novak

    Article201812 citations
    ABI

  8. Untitled

    Other11 citations
    ABI

  9. Optimal quadrature formulas with derivatives in a periodic space

    Kholmat Shadimetov, Нилуфар Хусеновна Маматова

    ArticleMathematical functions and polynomialsAIP conference proceedings20217 citations
    ABI

  10. On an Optimal Quadrature Formula in a Hilbert Space of Periodic Functions

    Kholmat Shadimetov, A.R. Hayotov, Botir Abdikayimov

    ArticleMathematical functions and polynomialsAlgorithms20225 citations
    ABI

  11. Numerical Methods for Scientists and Engineers.

    V. Barnett, R. W. Hamming

    Article19622 citations
    ABI

  12. One new method for constructing compound optimal quadrature formulas

    Kholmat Shadimetov, Otabek Gulomov

    ArticleIterative Methods for Nonlinear EquationsAIP conference proceedings20241 citations
    ABI