Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas
type: Item
instance of: scholarly article
title: Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas
zbMATH Open document ID: 1122.65026
author: Yingguang Shi
author: Guo-Liang Xu
published in: Advances in Computational Mathematics
publication date: 2007-07-19T00:00:00Z
review text: The paper deals with the construction of generalized orthogonal polynomials and the corresponding Gaussian quadrature formulas. For these generalized quadrature formulas of Gauss' type, a simple method to calculate the Cotes numbers is established. Several numerical examples are presented.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 5172664
zbMATH Keywords: Gaussian quadrature formulas
zbMATH Keywords: algorithm
zbMATH Keywords: generalized orthogonal polynomials
zbMATH Keywords: Cotes numbers
zbMATH Keywords: numerical examples
reviewed by: Dan Bărbosu
MaRDI profile type: Publication
full work available at URL: s10444-007-9033-8
OpenAlex ID: W1974211802
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DOI: 10.1007/S10444-007-9033-8
description: scientific article; zbMATH DE number 5172664