Product rules on the unit circle with uniformly distributed nodes. Error bounds for analytic functions
type: Item
instance of: scholarly article
title: Product rules on the unit circle with uniformly distributed nodes. Error bounds for analytic functions
zbMATH Open document ID: 0934.41020
DOI: 10.1016/S0377-0427(99)00110-7
published in: Journal of Computational and Applied Mathematics
publication date: 1999-11-23T00:00:00Z
review text: Numerical calculation of integrals over the unit circle in the complex plane of the form \[ I[f]= \int^\pi_{-\pi} f(e^{i\theta}) K(\theta) d\theta \] was proposed. The function \(f\) is replaced by a suitable approximant using Szegö quadrature formula and Laurent polynomials. Uniformly distributed nodes are obtained. Properties of the coefficients in the quadrature formulas were discussed. Error bounds for the error functional were determined.
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 1367898
zbMATH Keywords: approximate quadratures
author: Juan Carlos Santos-León
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1367898