Bernstein type theorems for compact sets in \({\mathbb{R}{}}^ n\) (Q1190997)
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scientific article; zbMATH DE number 58866
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bernstein type theorems for compact sets in \({\mathbb{R}{}}^ n\) |
scientific article; zbMATH DE number 58866 |
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Bernstein type theorems for compact sets in \({\mathbb{R}{}}^ n\) (English)
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27 September 1992
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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.
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Bernstein inequality
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