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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 ShadimetovTashkent State Transport University, 1, Temiryo‘lchilar str., Tashkent, 100167, UzbekistanA.R. HayotovCentral Asian University, 264, Milliy bog str., Barkamol MFY, M.Ulugbek district, Tashkent, 111221, UzbekistanUmedjon KhayrievAsia International University, 74, Gijduvan str., Bukhara, 200114, Uzbekistan

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