Mean convergence of orthogonal Fourier series and interpolating polynomials

DOI10.1007/s10474-005-0183-1zbMath1094.42028arXivmath/0401415OpenAlexW2046547848MaRDI QIDQ2494435

Yuan Xu, Péter Vértesi

Publication date: 27 June 2006

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401415

zbMATH Keywords

Hilbert transforminterpolating polynomialsgeneralized Jacobi weightMarcinkiewicz-Zygmund inequalitieszeros of orthogonal polynomialsweighted mean convergenceFourier orthogonal series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (3)

On orthogonal expansions with respect to the generalized Jacobi weight ⋮ \(L^p\)-convergence of Hermite and Hermite-Fejér interpolation ⋮ Mean convergence of Lagrange interpolation

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