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Optimal quadrature formulas for the Cauchy type singular integral in the Sobolev space $L_2^{(2)}(0,1)$

Published 2 Jul 2017 in math.NA | (1707.00242v1)

Abstract: In the present paper in $L_2{(2)}(0,1)$ S.L.Sobolev space the optimal quadrature formula is constructed for approximate calculation of Cauchy type singular integral.

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