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Работы, на которые ссылается эта работа

Работ: 35

Работа: 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

    Статья1949Цитирований: 57
    ABI

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

    Abdullo Hayotov, Samandar Babaev

    Статья2021Цитирований: 47
    ABI

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

    Kholmat Shadimetov, A.R. Hayotov

    СтатьяMathematical functions and polynomialsCALCOLO2013Цитирований: 38
    ABI

  4. On optimal quadrature formulae

    Flavia Lanzara

    Статья2000Цитирований: 36
    ABI

  5. On the weights of Sard's quadrature formulas

    Peter Köhler

    Статья1988Цитирований: 31
    ABI

  6. On Monosplines of Least Deviation and Best Quadrature Formulae

    I. J. Schoenberg

    Статья1965Цитирований: 29
    ABI

  7. Best Approximate Integration Formulas

    Leroy F. Meyers, Arthur Sard

    Статья1950Цитирований: 29
    ABI

  8. Application of optimal quadrature formulas for reconstruction of CT images

    A.R. Hayotov, Soomin Jeon, Kholmat Shadimetov

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2020Цитирований: 28
    ABI

  9. Construction of an Optimal Quadrature Formula in the Hilbert Space of Periodic Functions

    A.R. Hayotov, Umedjon Khayriev

    СтатьяMathematical functions and polynomialsLobachevskii Journal of Mathematics2022Цитирований: 28
    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

    СтатьяNumerical methods in inverse problemsJournal of Computational and Applied Mathematics2020Цитирований: 27
    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

    СтатьяNumerical methods in inverse problemsFilomat2021Цитирований: 27
    ABI

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

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

    СтатьяMathematical functions and polynomialsApplied Mathematics and Computation2015Цитирований: 24
    ABI

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

    Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

    СтатьяMathematical functions and polynomialsJournal of Inequalities and Applications2022Цитирований: 23
    ABI

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

    I. J. Schoenberg

    Статья1966Цитирований: 23
    ABI

  15. On semicardinal quadrature formulae

    I. J. Schoenberg, S. D. Silliman

    Статья1974Цитирований: 23
    ABI

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

    L. N. G. Filon

    Статья1930Цитирований: 18
    ABI

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

    A.R. Hayotov, Samandar Babaev

    СтатьяFractional Differential Equations SolutionsLobachevskii Journal of Mathematics2023Цитирований: 16
    ABI

  18. Quadrature Formulae

    Aldo Ghizzetti, Alessandro Ossicini

    Книга1970Цитирований: 15
    ABI

  19. Optimal Quadrature Formula for Numerical Integration of Fractional Integrals in a Hilbert Space

    A.R. Hayotov, Samandar Babaev

    СтатьяMathematical functions and polynomialsJournal of Mathematical Sciences2023Цитирований: 14
    ABI

  20. Efficient quadrature of highly oscillatory integrals using derivatives

    Arieh Iserles, Syvert P. Nørsett

    Статья2005Цитирований: 14
    ABI

  21. Efficient computation of highly oscillatory integrals with Hankel kernel

    Zhenhua Xu, Gradimir V. Milovanović, Shuhuang Xiang

    Статья2015Цитирований: 13
    ABI

  22. Numerical Integration of Highly Oscillating Functions

    Gradimir V. Milovanović, Marija P. Stanić

    Глава2014Цитирований: 12
    ABI

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

    Gradimir V. Milovanović

    Статья1998Цитирований: 12
    ABI

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

    Shun Zhang, Erich Novak

    Статья2018Цитирований: 12
    ABI

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

    Samandar Babaev

    Статья2024Цитирований: 11
    ABI