A generalized Birkhoff–Young–Chebyshev quadrature formula for analytic functions

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摘要

A generalized N-point Birkhoff–Young quadrature of interpolatory type, with the Chebyshev weight, for numerical integration of analytic functions is considered. The nodes of such a quadrature are characterized by an orthogonality relation. Some special cases of this quadrature formula are derived.

论文关键词：Quadrature formula,Error term,Chebyshev polynomial,Orthogonality,Analytic function

论文评审过程：Available online 5 February 2011.

论文官网地址：https://doi.org/10.1016/j.amc.2011.02.007