Canonical products and the weights \(\exp (-| x| ^{\alpha})\), \(\alpha >1\), with applications
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Publication:1089541
DOI10.1016/0021-9045(87)90085-2zbMath0619.41006OpenAlexW2069161768MaRDI QIDQ1089541
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)90085-2
Related Items (20)
On the density of multivariate polynomials with varying weights ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Weights on the real line that admit good relative polynomial approximation, with applications ⋮ 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 ⋮ Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros ⋮ 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 ⋮ Weighted Markov-type estimates for the derivatives of constrained polynomials on [0,\(\infty)\) ⋮ A sharp inequality of Markov type for polynomials associated with Laguerre weight ⋮ Jackson-Favard type problems for the weight \(\exp(-|x|)\) on the real line ⋮ 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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