Pointwise bounds of orthogonal expansions on the real line via weighted Hilbert transforms

DOI10.1007/s10444-005-7472-7zbMath1114.42010OpenAlexW1995899506MaRDI QIDQ877785

Steven B. Damelin

Publication date: 3 May 2007

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-005-7472-7

zbMATH Keywords

polynomial approximationHilbert transformorthogonal expansionsFourier seriespointwise convergenceweighted polynomial approximationFreud weight

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10)

Cites Work

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• Asymptotics of recurrence coefficients for orthonormal polynomials on the line—Magnus’s method revisited
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• Extension of the Dirichlet-Jordan criterion to a general class of orthogonal polynomial expansions
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Mean Convergence of Hermite and Laguerre Series. I
• Orthogonal polynomials for exponential weights

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