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Ish: 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

   MaqolaMathematical functions and polynomialsJournal of Computational and Applied Mathematics20245 iqtibos

   ABIABI:AkademIndex/openalex/2024.article.001189

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

   MaqolaMathematical functions and polynomialsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20260 iqtibos

   ABIABI:AkademIndex/openalex/2026.article.003795

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

   MaqolaMathematical functions and polynomialsRussian Mathematics20260 iqtibos

   ABIABI:AkademIndex/openalex/2026.article.018280