\(L^{p}\)-convergence of Fourier sums with exponential weights on \((-1,1)\)

DOI10.1016/j.jat.2011.02.003zbMath1219.42021OpenAlexW1992381840MaRDI QIDQ544029

Giuseppe Mastroianni, Incoronata Notarangelo

Publication date: 14 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.jat.2011.02.003

zbMATH Keywords

orthogonal polynomialsFourier seriesexponential weightsapproximation by polynomials

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (6)

Polynomial inequalities and embedding theorems with exponential weights on \((-1, 1)\) ⋮ Polynomial approximation with an exponential weight on the real semiaxis ⋮ Fourier sums with exponential weights on \((-1,1):L^1\) and \(L^\infty\) cases ⋮ Orthogonal polynomials for Jacobi-exponential weights \((1 - x^2)^\rho e^{-Q(x)}\) on \((-1, 1)\) ⋮ Generalized Christoffel functions for Jacobi-exponential weights on \([-1, 1\)] ⋮ Polynomial approximation with Pollaczek-type weights. A survey

Cites Work

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• Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform
• Orthogonal polynomials
• Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]
• Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
• Mean Convergence of Jacobi Series
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• The Mean Convergence of Orthogonal Series. II
• The Mean Convergence of Orthogonal Series. I
• Orthogonal polynomials for exponential weights

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