A Markov type inequality for higher derivatives of polynomials

DOI10.1007/BF01302931zbMath0713.41006OpenAlexW2030048307MaRDI QIDQ749794

Peter Dörfler

Publication date: 1990

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178462

zbMATH Keywords

orthogonal polynomialsLaguerre weight

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Best constants in approximation theory (41A44)

Related Items (5)

On the best constants in Markov-type inequalities involving Laguerre norms with different weights ⋮ On the constants in Markov inequalities for the Laplace operator on polynomials with the Laguerre norm ⋮ Asymptotically sharp inequalities for polynomials involving mixed Laguerre norms ⋮ Inequalities of the Markov type for partial derivatives of polynomials in several variables ⋮ On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line

Cites Work

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• Über die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugehörige Extremum
• New Inequalities of Markov Type
• Some L2 Markoff inequalities

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