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14 works

Work: Efficient quadrature of highly oscillatory integrals using derivatives

  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. Оптимальные квадратурные формулы в пространстве W2(m,m−1) периодических функций

    A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical Approximation and IntegrationВестник КРАУНЦ Физико-математические науки20227 citations
    ABI

  6. 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

  7. 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

  8. Optimization of approximate integrals of rapidly oscillating functions in the Hilbert space

    A.R. Hayotov, Samandar Babaev, Abdimumin Kurbonnazarov

    ArticleMathematical functions and polynomialsResults in Applied Mathematics20251 citations
    ABI

  9. Optimal Quadrature Formulas with Derivative for Calculating Integrals of Strongly Oscillating Functions

    Kh. M. Shadimetov, Fotima Davlatova, N. H. Mamatova

    ArticleNumerical methods in inverse problemsLobachevskii Journal of Mathematics20240 citations
    ABI

  10. Optimal quadrature formulas for approximate calculation of rapidly oscillating integrals

    Kholmat Shadimetov, Anvar Adilkhodjaev, Otabek Gulomov

    ArticleMathematical functions and polynomialsResults in Applied Mathematics20250 citations
    ABI

  11. Optimal Quadrature Formulas for Approximate Calculation of Rapidly Oscillating Integrals

    Otabek Gulomov

    PreprintDifferential Equations and Numerical MethodsSSRN Electronic Journal20250 citations
    ABI

  12. Optimal quadrature formulas in the space of periodic functions W(m,m−1,m−2)

    Hojiakbar Qobilov

    PreprintMathematical Approximation and IntegrationSSRN Electronic Journal20250 citations
    ABI

  13. 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

  14. 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