Fourier sums with exponential weights on \((-1,1):L^1\) and \(L^\infty\) cases

DOI10.1016/j.jat.2011.06.007zbMath1231.41007OpenAlexW2251896490MaRDI QIDQ643345

Incoronata Notarangelo, Giuseppe Mastroianni

Publication date: 28 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.jat.2011.06.007

zbMATH Keywords

orthogonal polynomialsFourier seriesexponential weightsapproximation by polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10)

Related Items (2)

Polynomial approximation with an exponential weight on the real semiaxis ⋮ Polynomial approximation with Pollaczek-type weights. A survey

Cites Work

• Unnamed Item
• Unnamed Item
• \(L^{p}\)-convergence of Fourier sums with exponential weights on \((-1,1)\)
• Hilbert transforms and Lagrange interpolation
• Lagrange interpolation in weighted Besov spaces
• Bounds for orthogonal polynomials for exponential weights
• Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1\). I]
• Polynomial inequalities and embedding theorems with exponential weights on \((-1, 1)\)
• Mean Convergence of Lagrange Interpolation. III
• Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]

This page was built for publication: Fourier sums with exponential weights on \((-1,1):L^1\) and \(L^\infty\) cases