Approximation by polynomials and smooth functions in Sobolev spaces with respect to measures

DOI10.1016/S0021-9045(02)00019-9zbMath1014.41007OpenAlexW2029743945MaRDI QIDQ1867269

José M. Rodríguez

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9045(02)00019-9

zbMATH Keywords

polynomial approximationweighted Sobolev spacesSobolev spaces with measures

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (6)

Semiparametric estimation of latent variable asset pricing models ⋮ A simple characterization of weighted Sobolev spaces with bounded multiplication operator ⋮ Weierstrass's theorem in weighted Sobolev spaces with \(k\) derivatives ⋮ Weighted Weierstrass' theorem with first derivatives ⋮ Sobolev spaces with respect to measures in curves and zeros of Sobolev orthogonal polynomials ⋮ Weierstrass' theorem with weights

Cites Work

• Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials
• Orthogonal polynomials and approximation in Sobolev spaces
• A class of orthogonal polynomials
• Hardy's inequality with weights
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weierstrass' theorem in weighted Sobolev spaces
• The multiplication operator in Sobolev spaces with respect to measures
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