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Optimal quadrature formulas with derivative for Hadamard type singular integrals

D.M. Akhmedov)National University of Uzbekistan named after M. Ulugbek, University str. 4, Tashkent 100174, UzbekistanKholmat Shadimetov)Tashkent State Transport University, Odilkhodjaev str. 1, Tashkent 100167, Uzbekistan
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In the present paper in L2(m) (0,1) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Hyper-singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results are presented to show the validity and accuracy of the proposed method.

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