Pseudometrics, distances and multivariate polynomial inequalities

DOI10.1016/j.jat.2008.02.002zbMath1154.41007OpenAlexW2083624411MaRDI QIDQ935084

Shayne F. D. Waldron, Norman Levenberg, L. P. Bos

Publication date: 31 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jat.2008.02.002

zbMATH Keywords

polynomial inequalitiespseudometricpseudodistance

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

• Bernstein type theorems for compact sets in \({\mathbb{R}{}}^ n\)
• On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies
• Bernstein type theorems for compact sets in \(\mathbb{R}^ n\) revisited
• The theory of multi-dimensional polynomial approximation
• Bernstein's inequality for multivariate polynomials on the standard simplex
• Bounds on the derivatives of polynomials on Banach spaces
• Invariant distances and metrics in complex analysis
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