On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies
type: Item
instance of: scholarly article
title: On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies
zbMATH Open document ID: 0952.41012
author: András Kroó
author: Szilárd Gy. Révész
published in: Journal of Approximation Theory
publication date: 1999-09-07T00:00:00Z
review text: Given a convex body \(K\subset\mathbb{R}^m\), let \(p_n\) be a polynomial of degree \(n\) such that \(\|p_n\|_{C(K)}=1\). Some local and uniform estimates for the magnitude of \(\text{grad} p_n\) are discussed.
Mathematics Subject Classification ID: 41A17
zbMATH DE Number: 1333086
zbMATH Keywords: multivariate polynomials
zbMATH Keywords: convex bodies
zbMATH Keywords: gradient and directional derivative of polynomials
reviewed by: Boris Rubin
MaRDI profile type: Publication
OpenAlex ID: W2144044445
cites work: Bernstein type theorems for compact sets in \(\mathbb{R}^ n\) revisited
cites work: Q4884015
cites work: Approximation et interpolation des fonctions différentiables de plusieurs variables
cites work: Some extremal problems for multivariate polynomials on convex bodies
cites work: Markov inequalities for polynomials on triangles
cites work: Bounds on the derivatives of polynomials on Banach spaces
cites work: A Markov inequality in several dimensions
DOI: 10.1006/JATH.1998.3314
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description: scientific article; zbMATH DE number 1333086