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A quadrature rule of interpolatory type for Cauchy integrals - MaRDI portal

A quadrature rule of interpolatory type for Cauchy integrals (Q5928291)

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scientific article; zbMATH DE number 1582362
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A quadrature rule of interpolatory type for Cauchy integrals
scientific article; zbMATH DE number 1582362

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    A quadrature rule of interpolatory type for Cauchy integrals (English)
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    11 November 2001
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    A quadrature rule of interpolatory type is constructed by use of trigonometric interpolation for the computation of Cauchy integrals. The authors obtain the same error bound \(O(|a_N^N |)\) as did \textit{T. Hasegawa} and \textit{T. Torii} [Math. Comput. 56, No. 194, 741-754 (1991; Zbl 0725.65025)]. Numerical examples are given.
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    Cauchy integrals
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    quadrature rule
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    trigonometric interpolation
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    error bound
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    numerical examples
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