Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space
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摘要
In the present paper in L2(m)(−1,1) space the optimal quadrature formula is constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained.
论文关键词：Optimal quadrature formula,Singular integral of the Cauchy type,Sobolev space
论文评审过程：Received 15 December 2014, Revised 2 April 2015, Accepted 17 April 2015, Available online 21 May 2015, Version of Record 21 May 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.04.066
