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Works cited by this work

39 works

Work: Construction of an Optimal Quadrature Formula for the Approximate Calculation of Fourier Integrals Using the φ-Function Method

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

    Samandar Babaev

    Article202411 citations
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  2. Complexity of oscillatory integration for univariate Sobolev spaces

    Erich Novak, Mario Ullrich, Henryk Woźniakowski

    Article201410 citations
    ABI

  3. OPTIMAL QUADRATURE FORMULAS FOR FOURIER COEFFICIENTS IN <i>W</i><sub>2</sub><sup>(<i>m</i>,<i>m</i>-1)</sup> 2 SPACE

    Nurali D. Boltaev, A.R. Hayotov, Kholmat Shadimetov

    Article201710 citations
    ABI

  4. Linear Approximation

    Arthur Sard

    Book19639 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
    ABI

  6. Evaluation of the integrals of oscillating functions by interpolation at nodes of gaussian quadratures

    Н.С. Бахвалов, Л.Г. Васильева

    Article19687 citations
    ABI

  7. A quadrature formula for the Fourier integral based on the use of a cubic spline

    V.A. Avdeyenko, A. A. Malyukov

    Article19896 citations
    ABI

  8. Optimal quadrature formulas for approximating strongly oscillating integrals in the Hilbert space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg" display="inline" id="d1e1958"><mml:msubsup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mo>˜</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math> of periodic functions

    Kholmat Shadimetov, A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics20245 citations
    ABI

  9. Moment-free numerical integration of highly oscillatory functions

    Sheehan Olver

    Article20055 citations
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  10. Computing Highly Oscillatory Integrals

    Alfredo Deaño, Daan Huybrechs, Arieh Iserles

    Book20174 citations
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  11. An optimal quadrature formula for approximating Fourier integrals in a Hilbert space

    A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical functions and polynomialsAIP conference proceedings20243 citations
    ABI

  12. 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
    ABI

  13. Evaluating infinite range oscillatory integrals using generalised quadrature methods

    G. A. Evans, K.C. Chung

    Article20062 citations
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  14. On the convergence rate of a modified Fourier series

    Sheehan Olver

    Article20092 citations
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