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10 works

Work: Complexity of oscillatory integration for univariate Sobolev spaces

  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. On an optimal quadrature formula for approximation of Fourier integrals in the space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e947" altimg="si5.svg"><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math>

    A.R. Hayotov, Soomin Jeon, Chang-Ock Lee

    ArticleNumerical methods in inverse problemsJournal of Computational and Applied Mathematics202027 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 Quadrature Formula for Numerical Integration of Fractional Integrals in a Hilbert Space

    A.R. Hayotov, Samandar Babaev

    ArticleMathematical functions and polynomialsJournal of Mathematical Sciences202314 citations
    ABI

  6. Optimal quadrature formulas for approximating strongly oscillating integrals in the Hilbert space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg" display="inline" id="d1e1958"><mml:msubsup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mo>˜</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math> of periodic functions

    Kholmat Shadimetov, A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics20245 citations
    ABI

  7. An optimal quadrature formula in the space W~2(2,1) of periodic complex-valued functions

    Umedjon Khayriev, Mohinur Usmonova, Gavhar Turdieva

    ArticleMathematical functions and polynomialsAIP conference proceedings20242 citations
    ABI

  8. Numerical integration of Fourier integrals by the optimal quadrature formula exact for hyperbolic functions

    A.R. Hayotov, Abdimumin Kurbonnazarov, Sarvarbek Z. Polvonov

    ArticleMathematical functions and polynomialsAIP conference proceedings20242 citations
    ABI

  9. Construction of an optimal quadrature formula for the approximate calculation of Fourier integrals using the φ-function method

    A. R. Hayotov, S. S. Babaev, A. A. Abduaxadov

    ArticleMathematical functions and polynomialsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20260 citations
    ABI

  10. Construction of an Optimal Quadrature Formula for the Approximate Calculation of Fourier Integrals Using the φ-Function Method

    A. R. Hayotov, S. S. Babaev, A. A. Abduakhadov

    ArticleMathematical functions and polynomialsRussian Mathematics20260 citations
    ABI