A Gauss quadrature rule for hypersingular integrals
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摘要
We construct a set of polynomials Φn(x, t) which are orthogonal with respect to v(x, t) = w(x)/(x − t)p, t ∈ (a, b), where w(x) is a weight function and p is an integer. As an application these polynomials can be used to extract Gaussian quadrature rules for hypersingular integrals.
论文关键词：Orthogonal polynomials,Finite part integrals,Gaussian quadrature rules
论文评审过程：Available online 2 October 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.08.075
