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A representation of the optimal quadrature formula in the Hörmander space H2μ (R)

Kholmat ShadimetovTashkent state transport university, Temiryo‘lchilar street, 1, Tashkent 100167, UzbekistanIkrom I. JalolovTashkent state transport university, Temiryo‘lchilar street, 1, Tashkent 100167, Uzbekistan

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In this article, we consider the problem of constructing optimal quadrature formulas in Hörmander space H2μ (R). An unknown function for constructing such formulas for m = 2 is found, and a new optimal quadrature formula is obtained for m = 2.

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