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Works cited by this work

19 works

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

  1. Untitled

    Other72 citations
    ABI

  2. Optimal quadrature formulas for computing of Fourier integrals in W2(m,m−1) space

    Abdullo Hayotov, Samandar Babaev

    Article202147 citations
    ABI

  3. Untitled

    Other42 citations
    ABI

  4. 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

  5. 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

  6. 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

  7. 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

  8. Optimal quadrature formulas for oscillatory integrals in the Sobolev space

    Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

    ArticleMathematical functions and polynomialsJournal of Inequalities and Applications202223 citations
    ABI

  9. III.—On a Quadrature Formula for Trigonometric Integrals

    L. N. G. Filon

    Article193018 citations
    ABI

  10. Selected Works of S.L. Sobolev

    Demidenko, Gennadii, Vaskevich, Vladimir

    Book200617 citations
    ABI

  11. Efficient quadrature of highly oscillatory integrals using derivatives

    Arieh Iserles, Syvert P. Nørsett

    Article200514 citations
    ABI

  12. Exponentially weighted optimal quadrature formula with derivative in the space L2(2)

    A.R. Hayotov, Umedjon Khayriev, Farrukhbek Azatov

    Article202313 citations
    ABI

  13. Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures

    Gradimir V. Milovanović

    Article199812 citations
    ABI

  14. Complexity of oscillatory integration for univariate Sobolev spaces

    Erich Novak, Mario Ullrich, Henryk Woźniakowski

    Article201410 citations
    ABI

  15. On an optimal quadrature formula for approximation of Fourier integrals in the space $W_2^{(1,0)}$

    Samandar Babaev, A.R. Hayotov, Umedjon Khayriev

    Article20209 citations
    ABI

  16. Untitled

    Other9 citations
    ABI

  17. 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

  18. 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

  19. The Mathematics of Medical Imaging

    Timothy G. Feeman

    Book20153 citations
    ABI