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

DOI10.1216/RMJ-2009-39-1-165zbMATH Open1166.41002MaRDI QIDQ1011137

Doron S. Lubinsky

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

polynomial approximationweighted approximationJackson-Bernstein theorems

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)

Cites Work

• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Which weights on \(\mathbb R\) admit Jackson theorems?
• A Weighted Polynomial Inequality
• Orthogonal polynomials for exponential weights
• Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)
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Related Items (1)

Under which conditions is the Jacobi space \(L_{w^{(a,b)} }^p [ - 1,1\) subset of \(L_{w^{(\alpha ,\beta )} }^1 [ - 1,1]\)?]

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