A quadrature rule of interpolatory type for Cauchy integrals

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摘要

We construct a quadrature rule of interpolatory-type based on a trigonometric interpolation for Cauchy integrals. We obtain the same error bound O(|aNN|) as Hasegawa and Torii (Math. Comp. 56 (1991) 741–754). Numerical examples are included to substantiate the performance of the present method.

论文关键词：Cauchy integrals,Quadrature rule,Trigonometric interpolation

论文评审过程：Received 2 March 1999, Revised 2 September 1999, Available online 26 December 2000.

论文官网地址：https://doi.org/10.1016/S0377-0427(99)00354-4