On the best constants in Markov-type inequalities involving Laguerre norms with different weights

DOI10.1007/s00605-009-0187-yzbMath1205.41024OpenAlexW1983650486MaRDI QIDQ604816

Albrecht Böttcher, Peter Dörfler

Publication date: 12 November 2010

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

Full work available at URL: https://doi.org/10.1007/s00605-009-0187-y

zbMATH Keywords

Volterra operatorToeplitz matrixLaguerre polynomialMarkov inequality

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Best constants in approximation theory (41A44)

Related Items (3)

On the L 2 Markov Inequality with Laguerre Weight ⋮ On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight ⋮ Asymptotically sharp inequalities for polynomials involving mixed Laguerre norms

Cites Work

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• A Markov type inequality for higher derivatives of polynomials
• On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line
• Introduction to large truncated Toeplitz matrices
• Weighted \(L^ 2\)-analogues of Bernstein's inequality and classical orthogonal polynomials
• Asymptotics of the best constant in a certain Markov-type inequality
• Extremal problems, inequalities, and classical orthogonal polynomials.
• Über die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugehörige Extremum
• On The Eigenvalues of Certain Hermitian Operators
• Some L2 Markoff inequalities
• Weighted Markov‐type inequalities, norms of Volterra operators, and zeros of Bessel functions

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