Error bounds of certain Gaussian quadrature formulae
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摘要
We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein–Szegö weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bounds of the corresponding Gauss quadratures.
论文关键词：primary,41A55,secondary,65D30,65D32,Kernel,Remainder term,Gauss quadrature,Analytic function,Elliptic contour,Error bound
论文评审过程：Received 15 July 2008, Revised 10 April 2009, Available online 18 April 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.04.004
