Best polynomial approximation in Sobolev-Laguerre and Sobolev-Legendre spaces.

DOI10.1007/s00365-001-0022-8zbMath1065.41049OpenAlexW1969069980MaRDI QIDQ1862757

Yanyan Li

Publication date: 15 July 2003

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-001-0022-8

zbMATH Keywords

best polynomial approximationortogonal polynomials

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

Related Items (1)

Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. I: Algorithms

Cites Work

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• On polynomials orthogonal with respect to certain Sobolev inner products
• Orthogonal polynomials and approximation in Sobolev spaces
• General Sobolev orthogonal polynomials
• Laguerre-Sobolev orthogonal polynomials
• On Sobolev orthogonality for the generalized Laguerre polynomials
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen und deren Anwendung auf die beste Approximation.
• Theoretical Properties of Best Polynomial Approximation in $W^{1,2} [ - 1,1$]
• Polynomial Least Square Approximations
• Generalized coherent pairs

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