The numerical evaluation of the error term in a quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function

被引：0
作者：
H. V. Smith
D. B. Hunter
机构：
[1] Quadrature Research Centre,Mathematics Unit, Department of Computing
[2] Bradford University,undefined
来源：
BIT Numerical Mathematics | 2011年 / 51卷
关键词：
Gegenbauer quadrature; Clenshaw-Curtis quadrature; Chebyshev polynomials; 65D32;
D O I：
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中图分类号：
学科分类号：
摘要：
A method is derived for the numerical evaluation of the error term arising in a quadrature formula of Clenshaw-Curtis type for functions of the form \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(1-x^{2})^{\lambda - \frac{1}{2}}f(x)$\end{document} over the interval [−1,1]. The method is illustrated by an example.
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页码：1031 / 1038
页数：7
相关论文
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