On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies (Q1300150)
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scientific article; zbMATH DE number 1333086
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies |
scientific article; zbMATH DE number 1333086 |
Statements
On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies (English)
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7 September 1999
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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.
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multivariate polynomials
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convex bodies
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gradient and directional derivative of polynomials
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0.95477194
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0.95309585
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0.9397822
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0.9338368
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