Weighted \(L^ 2\)-analogues of Bernstein's inequality and classical orthogonal polynomials

DOI10.1006/jmaa.1994.1078zbMath0799.41017OpenAlexW2019646583WikidataQ115058815 ScholiaQ115058815MaRDI QIDQ1323209

Allal Guessab, Gradimir V. Milovanović

Publication date: 27 November 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1078

zbMATH Keywords

algebraic polynomialsBernstein's inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Analytic subsets and submanifolds (32C25)

Related Items (14)

Weighted Sobolev spaces: Markov-type inequalities and duality ⋮ Some inequalities for algebraic polynomials with the Laguerre weight ⋮ Inequalities of Rafalson type for algebraic polynomials ⋮ On the best constants in Markov-type inequalities involving Laguerre norms with different weights ⋮ On approximation of functions on the half-line by Laguerre polynomials and functions ⋮ Direct and inverse theorems of the approximation of functions by algebraic polynomials and splines in the norms of the Sobolev space ⋮ Difference inequalities and barycentric identities for classical discrete iterated weights ⋮ Asymptotically sharp inequalities for polynomials involving mixed Laguerre norms ⋮ The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ Characterization of generalized Bessel polynomials in terms of polynomial inequalities ⋮ Some sharp inequalities for algebraic polynomials ⋮ Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces ⋮ Extremal problems, inequalities, and classical orthogonal polynomials.

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