Sharp \(L_p\) Bernstein type inequality for cuspidal domains in \(\mathbb{R}^d\)

DOI10.1016/j.jat.2021.105593zbMath1468.41006OpenAlexW3161946028MaRDI QIDQ2037067

András Kroó

Publication date: 30 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.jat.2021.105593

zbMATH Keywords

multivariate polynomialsBernstein-Markov inequality\(L_p\) normcuspidal sets

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63)

Related Items (1)

Bernstein inequality on conic domains and triangles

Cites Work

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• Inégalité de Markov dans les ensembles effiles
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Markov-Bernstein type inequalities for multivariate polynomials on sets with cusps
• Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\)
• On Bernstein-Markov-type inequalities for multivariate polynomials in \(L_q\)-norm
• Markov inequality on sets with polynomial parametrization

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