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Works cited by this work

35 works

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

  1. Best Approximate Integration Formulas; Best Approximation Formulas

    Arthur Sard

    Article194957 citations
    ABI

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

    Abdullo Hayotov, Samandar Babaev

    Article202147 citations
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  3. Optimal quadrature formulas in the sense of Sard in $$W_2^{(m,m-1)}$$ space

    Kholmat Shadimetov, A.R. Hayotov

    ArticleMathematical functions and polynomialsCALCOLO201338 citations
    ABI

  4. On optimal quadrature formulae

    Flavia Lanzara

    Article200036 citations
    ABI

  5. On the weights of Sard's quadrature formulas

    Peter Köhler

    Article198831 citations
    ABI

  6. On Monosplines of Least Deviation and Best Quadrature Formulae

    I. J. Schoenberg

    Article196529 citations
    ABI

  7. Best Approximate Integration Formulas

    Leroy F. Meyers, Arthur Sard

    Article195029 citations
    ABI

  8. 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

  9. 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

  10. 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

  11. 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

  12. Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space

    Kh. M. Shadimetov, A.R. Hayotov, D.M. Akhmedov

    ArticleMathematical functions and polynomialsApplied Mathematics and Computation201524 citations
    ABI

  13. 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

  14. On Monosplines of Least Square Deviation and Best Quadrature Formulae II

    I. J. Schoenberg

    Article196623 citations
    ABI

  15. On semicardinal quadrature formulae

    I. J. Schoenberg, S. D. Silliman

    Article197423 citations
    ABI

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

    L. N. G. Filon

    Article193018 citations
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  17. An Optimal Quadrature Formula for Numerical Integration of the Right Riemann–Liouville Fractional Integral

    A.R. Hayotov, Samandar Babaev

    ArticleFractional Differential Equations SolutionsLobachevskii Journal of Mathematics202316 citations
    ABI

  18. Quadrature Formulae

    Aldo Ghizzetti, Alessandro Ossicini

    Book197015 citations
    ABI

  19. 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

  20. Efficient quadrature of highly oscillatory integrals using derivatives

    Arieh Iserles, Syvert P. Nørsett

    Article200514 citations
    ABI

  21. Efficient computation of highly oscillatory integrals with Hankel kernel

    Zhenhua Xu, Gradimir V. Milovanović, Shuhuang Xiang

    Article201513 citations
    ABI

  22. Numerical Integration of Highly Oscillating Functions

    Gradimir V. Milovanović, Marija P. Stanić

    Chapter201412 citations
    ABI

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

    Gradimir V. Milovanović

    Article199812 citations
    ABI

  24. Optimal Quadrature Formulas for the Sobolev Space $$H^1$$ H 1

    Shun Zhang, Erich Novak

    Article201812 citations
    ABI

  25. Construction of an optimal quadrature formula for the approximation of fractional integrals

    Samandar Babaev

    Article202411 citations
    ABI