On L^p Markov type inequality for some cuspidal domains

DOI10.7153/mia-2023-26-20arXiv2004.12379OpenAlexW4372059080MaRDI QIDQ6180062

Tomasz Beberok

Publication date: 18 January 2024

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12379

zbMATH Keywords

multivariate polynomialsMarkov inequality\(L^p\) normcuspidal sets

Mathematics Subject Classification ID

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

Cites Work

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• Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
• Markov's inequality and \(C^{\infty}\) functions on sets with polynomial cusps
• Markov's inequality on locally Lipschitzian compact subsets of \({\mathbb{R}}^ N\) in \(L^ p\)-spaces
• On the problem of sharp exponents in multivariate Nikolskii-type inequalities
• Sobolev-Gagliardo-Nirenberg and Markov type inequalities on subanalytic domains
• On the best exponent in Markov inequality
• 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
• Polynomial inequalities on general subsets of $R^N$
• Markov inequality on sets with polynomial parametrization
• Markov's Exponent of Compact Sets in ℂ n
• Whitney extension theorems for convex functions of the classes C1 and C1,ω

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