Extended Lagrange interpolation and nonclassical Gauss quadrature formulae
type: Item
instance of: scholarly article
title: Extended Lagrange interpolation and nonclassical Gauss quadrature formulae
zbMATH Open document ID: 1048.41016
DOI: 10.1016/S0895-7177(03)90017-3
author: Allal Guessab
author: Christian Gout
published in: Mathematical and Computer Modelling
publication date: 2004-08-06T00:00:00Z
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 2082728
zbMATH Keywords: Extended Gauss quadrature formulae
zbMATH Keywords: Gauss quadrature formulae
zbMATH Keywords: Orthogonal
zbMATH Keywords: polynomials
zbMATH Keywords: Quasi-orthogonal polynomials
zbMATH Keywords: Jacobi matrix
zbMATH Keywords: Three-term relation
zbMATH Keywords: Algorithms
describes a project that uses: ORTHPOL
describes a project that uses: QUADPACK
MaRDI profile type: Publication
cites work: Q3032744
cites work: A generalization of Chebyshev polynomials
cites work: Quasi-orthogonal polynomials, quadrature, and interpolation
cites work: A Characterization of Positive Quadrature Formulae
cites work: A note of mean convergence of Lagrange interpolation
cites work: Stieltjes Polynomials and Related Quadrature Rules
cites work: Anti-Gaussian quadrature formulas
cites work: Computation of Gauss-Kronrod quadrature rules
cites work: Modified optimal quadrature extensions
cites work: Q4746719
cites work: Q3323133
cites work: On quadrature convergence of extended Lagrange interpolation
cites work: A method for numerical integration on an automatic computer
cites work: Q4061445
cites work: Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
cites work: Calculation of Gauss Quadrature Rules
cites work: A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations
cites work: Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices
cites work: Q3868672
cites work: \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
cites work: Characterization of Positive Quadrature Formulas
cites work: Characterization of Quadrature Formula II
description: scientific article; zbMATH DE number 2082728