Extended Lagrange interpolation and nonclassical Gauss quadrature formulae

DOI10.1016/S0895-7177(03)90017-3zbMath1048.41016MaRDI QIDQ597464

Allal Guessab, Christian Gout

Publication date: 6 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

AlgorithmspolynomialsJacobi matrixExtended Gauss quadrature formulaeGauss quadrature formulaeOrthogonalQuasi-orthogonal polynomialsThree-term relation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximate quadratures (41A55)

Related Items (1)

A new family of extended Gauss quadratures with an interior interval constraint

Uses Software

• ORTHPOL
• QUADPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A method for numerical integration on an automatic computer
• Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices
• A generalization of Chebyshev polynomials
• A note of mean convergence of Lagrange interpolation
• Quasi-orthogonal polynomials, quadrature, and interpolation
• Modified optimal quadrature extensions
• \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
• Characterization of Quadrature Formula II
• Characterization of Positive Quadrature Formulas
• Stieltjes Polynomials and Related Quadrature Rules
• A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations
• A Characterization of Positive Quadrature Formulae
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
• Anti-Gaussian quadrature formulas
• On quadrature convergence of extended Lagrange interpolation
• Computation of Gauss-Kronrod quadrature rules
• Calculation of Gauss Quadrature Rules

This page was built for publication: Extended Lagrange interpolation and nonclassical Gauss quadrature formulae