A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function
type: Item
instance of: scholarly article
title: A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function
zbMATH Open document ID: 1090.41011
author: D. B. Hunter
author: H. V. Smith
published in: Journal of Computational and Applied Mathematics
publication date: 2005-05-04T00:00:00Z
review text: There is given a method for the numerical calculation of integrals of the functions of the form \((1-x^2)^{\lambda-1/2}f(x)\). The method is based on approximation of the function \(f(x)\) by the Chebyshev expansions. Error bounds of the method are derived. An example illustrates the method.
reviewed by: Josef Kofroň
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 2164841
zbMATH Keywords: Numerical integration
zbMATH Keywords: Gegenbauer weight-function
zbMATH Keywords: Clenshaw-Curtis quadrature
zbMATH Keywords: Chebyshev polynomials
MaRDI profile type: Publication
full work available at URL: j.cam.2004.08.014
OpenAlex ID: W2012934634
cites work: Q3661894
cites work: Error Estimates for the Clenshaw-Curtis Quadrature
cites work: A method for numerical integration on an automatic computer
cites work: Q3671491
cites work: Gaussian quadrature of Chebyshev polynomials
cites work: Error bounds for a Chebyshev quadrature scheme
DOI: 10.1016/J.CAM.2004.08.014
description: scientific article; zbMATH DE number 2164841