Kronrod extension of generalized Gauss-Radau and Gauss-Lobatto formulae
type: Item
instance of: scholarly article
title: Kronrod extension of generalized Gauss-Radau and Gauss-Lobatto formulae
zbMATH Open document ID: 0883.41016
author: Ken Li
published in: Rocky Mountain Journal of Mathematics
publication date: 1997-07-17T00:00:00Z
full work available at URL: CONT26-4.html
review text: In this interesting paper, the author studies Kronrod extensions of Gauss-Radau and Gauss-Lobatto quadrature formulae with the Chebyshev type weights \[ (1-t)^{\pm\frac12} (1+t)^{\pm\frac12} \] on \((-1,1)\). Explicit formulae are given for the Stieltjes polynomials, whose zeros are the additional points or abcissas of the quadrature formula. In addition, formulae are given for the weights in the quadrature formulae, and interlacing properties of zeros are studied.
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 65D30
zbMATH DE Number: 1036054
zbMATH Keywords: Gauss-Kronrod quadrature
zbMATH Keywords: Chebyshev weights
zbMATH Keywords: Gauss-Lobatto quadrature
zbMATH Keywords: quadrature formulae
reviewed by: Doron S. Lubinsky
MaRDI profile type: Publication
OpenAlex ID: W2080537441
cites work: Polynomial approximation of some singular functions
cites work: On Computing Gauss-Kronrod Quadrature Formulae
cites work: Q3032744
cites work: On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures
cites work: An Algebraic Study of Gauss-Kronrod Quadrature Formulae for Jacobi Weight Functions
cites work: Gauss-Radau and Gauss-Lobatto quadratures with double end points
cites work: The remainder term for analytic functions of Gauss-Radau and Gauss- Lobatto quadrature rules with multiple end points
cites work: Gauss Quadratures and Jacobi Matrices for Weight Function Not of One Sign
cites work: Q5533728
cites work: Q5339721
cites work: A Note on Extended Gaussian Quadrature Rule
cites work: Stieltjes Polynomials and Related Quadrature Rules
cites work: Gauss-Kronrod Integration Rules for Cauchy Principal Value Integrals
cites work: Über gewisse orthogonale Polynome, die zu einer oszillierenden Belegungsfunktion gehören
DOI: 10.1216/RMJM/1181071998
description: scientific article; zbMATH DE number 1036054