Weights on the real line that admit good relative polynomial approximation, with applications

DOI10.1016/0021-9045(87)90086-4zbMath0612.41010OpenAlexW2062776296MaRDI QIDQ1088082

A. L. Levin, Doron S. Lubinsky

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90086-4

zbMATH Keywords

applicationsMarkov-Bernstein inequalitiescanonical productsChristoffel functionsweighted exponentials

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items

Géza Freud, orthogonal polynomials and Christoffel functions. A case study, On Freud's equations for exponential weights, Mean convergence of Lagrange interpolation for Freud's weights with application to product integration rules, Uniform and mean approximation by certain weighted polynomials, with applications, Asymptotic behaviour of the ratio of Christoffel functions for weights \(W^ 2\) and \(W^ 2g\), Polynomial approximation with exponential weights, Sharp Nikolskij inequalities with exponential weights, Pointwise Exponentially Weighted Estimates for Approximation on the Half-Line, Polynomial inequalities with an exponential weight on \((0,+\infty)\), \(L_{\infty}\) Markov and Bernstein inequalities for Erdős weights, Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights, Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials, Error estimates of Lagrange interpolation and orthonormal expansions for Freud weights, Dimension independent Bernstein-Markov inequalities in Gauss space, The supremum norm of reciprocals of Christoffel functions for Erdős weights, Fast decreasing polynomials, Orthonormal polynomials for generalized Freud-type weights and higher-order Hermite-Fejér interpolation polynomials

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