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On determination of optimal coefficients of a quadrature formula of Hermite type in the Sobolev space W˜2(m) (T1)

Hakim RustamovBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanIslomjon JalolovBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanBekzodjon IsomiddinovBukhara State University, 11, M.Ikbol str., Bukhara 200114, Uzbekistan

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Numerous publications are devoted to quadrature formulas; they include the values of derivatives of integrable functions. When, besides the values of function f at points x on T1, the values of its derivatives of some orders are also known, then naturally, with the correct use of all these data, a more accurate result can be expected than in the case of using only the values of the functions.

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