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Work: An optimal quadrature formula for approximating Fourier integrals in a Hilbert space

  1. 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

  2. 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. Abduaxadov

    ArticleMathematical functions and polynomialsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20260 citations
    ABI

  3. 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