Article ID Journal Published Year Pages File Type
4640485 Journal of Computational and Applied Mathematics 2010 9 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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