On the best constants in Markov-type inequalities involving Laguerre norms with different weights
type: Item
instance of: scholarly article
title: On the best constants in Markov-type inequalities involving Laguerre norms with different weights
zbMATH Open document ID: 1205.41024
author: A. Böttcher
author: Peter Dörfler
published in: Monatshefte für Mathematik
publication date: 2010-11-12T00:00:00Z
review text: The author obtains new results on best constants (and their asymptotics) in some Markov-type inequalities between norms of polynomials and their derivatives.
Mathematics Subject Classification ID: 41A44
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 5815571
zbMATH Keywords: Markov inequality
zbMATH Keywords: Laguerre polynomial
zbMATH Keywords: Toeplitz matrix
zbMATH Keywords: Volterra operator
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: s00605-009-0187-y
OpenAlex ID: W1983650486
cites work: Extremal problems, inequalities, and classical orthogonal polynomials.
cites work: On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line
cites work: Weighted Markov‐type inequalities, norms of Volterra operators, and zeros of Bessel functions
cites work: Introduction to large truncated Toeplitz matrices
cites work: A Markov type inequality for higher derivatives of polynomials
cites work: Q4009912
cites work: Asymptotics of the best constant in a certain Markov-type inequality
cites work: Weighted \(L^ 2\)-analogues of Bernstein's inequality and classical orthogonal polynomials
cites work: Q4861743
cites work: Über die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugehörige Extremum
cites work: Some L2 Markoff inequalities
cites work: On The Eigenvalues of Certain Hermitian Operators
DOI: 10.1007/S00605-009-0187-Y
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description: scientific article; zbMATH DE number 5815571