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12 works

Work: Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures

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

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    ArticleMathematical functions and polynomialsNumerical Algorithms201635 citations
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  2. Application of optimal quadrature formulas for reconstruction of CT images

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    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics202028 citations
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  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
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  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
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  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
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  7. Numerical integration of Fourier integrals by the optimal quadrature formula exact for hyperbolic functions

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

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  8. 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
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  9. Optimal quadrature formulas for approximate calculation of rapidly oscillating integrals

    Kholmat Shadimetov, Anvar Adilkhodjaev, Otabek Gulomov

    ArticleMathematical functions and polynomialsResults in Applied Mathematics20250 citations
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  10. Optimal Quadrature Formulas for Approximate Calculation of Rapidly Oscillating Integrals

    Otabek Gulomov

    PreprintDifferential Equations and Numerical MethodsSSRN Electronic Journal20250 citations
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  11. 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
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  12. 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
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