On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line

DOI10.1016/j.laa.2008.10.003zbMath1162.41004OpenAlexW2094368396MaRDI QIDQ999789

Albrecht Böttcher, Peter Dörfler

Publication date: 10 February 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.10.003

zbMATH Keywords

Volterra operatorToeplitz matrixMarkov inequalityLaguerre weightWirtinger inequality

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inequalities involving derivatives and differential and integral operators (26D10) Best constants in approximation theory (41A44)

Related Items

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, On discrete Wirtinger-Northcott problems, On the real and imaginary parts of powers of the Volterra operator, Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries, Asymptotically sharp inequalities for polynomials involving mixed Laguerre norms, Inequalities of the Markov type for partial derivatives of polynomials in several variables, Norms of polynomials of the Volterra operator

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