On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight

DOI10.1016/j.jat.2016.03.005zbMath1454.41011arXiv1510.03265OpenAlexW2216074263MaRDI QIDQ5890721

A. Yu. Shadrin, Geno Nikolov, Dragomir Aleksov

Publication date: 3 June 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03265

zbMATH Keywords

Gegenbauer polynomialsMarkov inequalitybest constant

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Best constants in approximation theory (41A44)

Related Items (7)

On the L 2 Markov Inequality with Laguerre Weight ⋮ Markov \(L_2\) inequality with the Gegenbauer weight ⋮ A discrete weighted Markov-Bernstein inequality for sequences and polynomials ⋮ Markov-type inequalities and extreme zeros of orthogonal polynomials ⋮ On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight ⋮ Some remarks on spectral convergence and stability of iso-geometric analysis ⋮ Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces

Cites Work

• Asymptotics of the best constant in a certain Markov-type inequality
• Über die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugehörige Extremum
• On the best constants in Markov-type inequalities involving Gegenbauer norms with different weights
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