Counter-examples to Markov and Bernstein inequalities

DOI10.1016/0021-9045(92)90005-9zbMath0756.41021OpenAlexW2063234202MaRDI QIDQ1196887

Wiesław Pleśniak, Pierre Goetgheluck

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90005-9

zbMATH Keywords

Markov's inequalitygeneralized Bernstein inequality

Mathematics Subject Classification ID

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

Related Items (2)

Markov-Type Inequalities with Applications in Multivariate Approximation Theory ⋮ Markov inequality in several variables

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
• Polynomial inequalities on general subsets of $R^N$
• A Cantor regular set which does not have Markov's property
• Invariance of the L-Regularity of Compact Sets in C N Under Holomorphic Mappings
• Extension of $C^{∞}$ functions from sets with polynomial cusps

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