Optimal quadrature formulas with derivatives for Cauchy type singular integrals
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摘要
In the present paper in L2(m)(0,1) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results are presented.
论文关键词：Optimal quadrature formulas,The extremal function,Sobolev space,Optimal coefficients,Cauchy type singular integral
论文评审过程：Received 6 April 2017, Revised 12 July 2017, Accepted 5 September 2017, Available online 21 September 2017, Version of Record 21 September 2017.
论文官网地址：https://doi.org/10.1016/j.amc.2017.09.009
