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7 works

Work: Evaluation of the integrals of oscillating functions by interpolation at nodes of gaussian quadratures

  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. 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

  7. 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