Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials

DOI10.1016/0021-9045(86)90068-7zbMath0605.42023OpenAlexW2032065675MaRDI QIDQ1084283

Attila Máté, Vilmos Totik, Paul G. Nevai

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90068-7

zbMATH Keywords

Szegö's theory

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items

Turán type problems on mean convergence. I: Lagrange type interpolations, Géza Freud, orthogonal polynomials and Christoffel functions. A case study, Weighted \(L^ p\) approximation by modified Hermite interpolation of higher order, Extensions of Szegö's theory of orthogonal polynomials. II, On orthogonal expansions with respect to the generalized Jacobi weight, Perturbation of orthogonal Fourier expansions, Mean convergence of Fourier-Akhiezer-Chebyshev series, Weak behaviour of Fourier-Jacobi series, A survey on mean convergence of interpolatory processes, Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class, Bounded quasi-interpolatory polynomial operators, Legendre polynomials of the second kind, Fourier series and Lagrange interpolation, Fourier-Jacobi expansions in Morrey spaces, Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform, Endpoint weak boundedness of some polynomial expansions

Cites Work

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