Which weights on \(\mathbb R\) admit Jackson theorems?

DOI10.1007/BF02773956zbMath1135.41004MaRDI QIDQ2472734

Doron S. Lubinsky

Publication date: 22 February 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

weighted approximationJackson theoremsBernstein's Theorem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (6)

Orthogonal polynomials for weights close to indeterminacy ⋮ Weighted Lagrange interpolation with preassigned nodes on the real line ⋮ Jackson and Bernstein theorems for the weight \(\exp(-|x|)\) on \(\mathbb R\) ⋮ Which weights on \(\mathbb{R}\) admit \(L_p\) Jackson theorems? ⋮ Jackson-Favard type problems for the weight \(\exp(-|x|)\) on the real line ⋮ The degree of shape preserving weighted polynomial approximation

Cites Work

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• On Markov-Bernstein-type inequalities and their applications
• Jackson theorems for Erdős weights in \(L_p\) \((0<p\leq \infty)\)
• Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1\). I]
• Jackson and Bernstein theorems for the weight \(\exp(-|x|)\) on \(\mathbb R\)
• Extremal Problems for Polynomials with Exponential Weights
• A Weighted Polynomial Inequality
• Sur L'Approximation Polynomiale Avec Poids exp(-|x|)
• Orthogonal polynomials for exponential weights
• Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)

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