An improved error bound on Gauss quadrature

详细信息    查看全文

• 作者：Shuhuang Xiang ^{xiangsh@mail.csu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Gauss quadrature ; Convergence rate ; Aliasing ; Chebyshev expansion
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：58
• 期：Complete
• 页码：42-48
• 全文大小：594 K

文摘

In this paper, the refined estimates on aliasing errors on integration of Chebyshev polynomials by Gauss quadrature are present, which, together with the asymptotic formulae on the coefficients of Chebyshev expansions, deduces an improved convergence rate for Gauss quadrature. The convergence orders are attainable for some functions of finite regularities.