Bernstein type theorems for compact sets in \({\mathbb{R}{}}^ n\)
type: Item
instance of: scholarly article
title: Bernstein type theorems for compact sets in \({\mathbb{R}{}}^ n\)
zbMATH Open document ID: 0748.41008
DOI: 10.1016/0021-9045(92)90139-F
author: Mirosław Baran
published in: Journal of Approximation Theory
publication date: 1992-09-27T00:00:00Z
review text: A generalization of the classical Bernstein inequality \[ | p'(x)|\leq k(1-x^ 2)^{-1/2}(\| p\|^ 2_{[-1,1]}-p^ 2(x))^{1/2}, \] for \(x\in(-1,1)\), where \(p\) is a real polynomial with \(\deg p\leq k\) is given for the multivariate case.
Mathematics Subject Classification ID: 41A17
zbMATH DE Number: 58866
zbMATH Keywords: Bernstein inequality
reviewed by: Hans Benker
MaRDI profile type: Publication
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full work available at URL: 0021-9045(92)90139-f
OpenAlex ID: W2001353807
description: scientific article; zbMATH DE number 58866