Markov–Sonin Gaussian rule for singular functions
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摘要
The paper deals with the approximation of integrals ∫Rfwβ, where wβ is a Markov–Sonin weight and f can be singular at the origin. Gaussian-type quadrature rules, having a better behaviour w.r.t. the ordinary Gaussian rule, are introduced. Error estimates in weighted L1 norm and some numerical tests are given.
论文关键词：Quadrature,Orthogonal polynomials,Polynomial approximation
论文评审过程：Received 21 November 2002, Revised 10 December 2003, Available online 25 May 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2003.12.020
