$L_\infty $ Markov and Bernstein Inequalities for Freud Weights

DOI10.1137/0521059zbMath0727.41017OpenAlexW2079006690MaRDI QIDQ3349380

A. L. Levin, Doron S. Lubinsky

Publication date: 1990

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0521059

zbMATH Keywords

polynomial inequalities

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)

Related Items (14)

An update on orthogonal polynomials and weighted approximation on the real line ⋮ Necessary and sufficient conditions for mean convergence of orthogonal expansions for Freud weights ⋮ Full quadrature sums for \(p\)th powers of polynomials with Freud weights ⋮ Orthogonal polynomials for weights close to indeterminacy ⋮ Pointwise bounds of orthogonal expansions on the real line via weighted Hilbert transforms ⋮ WEIERSTRASS' THEOREM IN THE TWENTIETH CENTURY: A SELECTION ⋮ Biorthonormal systems in Freud-type weighted spaces with infinitely many zeros -- an interpolation problem ⋮ \(L_{\infty}\) Markov and Bernstein inequalities for Erdős weights ⋮ Weighted Hermite-Fejér interpolation on the real line: \(L_{\infty}\) case ⋮ Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The \(L_ \infty\) theory ⋮ Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights ⋮ Converse and smoothness theorems for Erdős weights in \(L_p\) \((0<p\leq\infty)\) ⋮ Polynomial approximation and interpolation on the real line with respect to general classes of weights ⋮ Orthonormal polynomials for generalized Freud-type weights and higher-order Hermite-Fejér interpolation polynomials

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