| dbo:abstract |
Bernstein's theorem is an inequality relating the maximum modulus of a complex polynomial function on the unit disk with the maximum modulus of its derivative on the unit disk. It was proven by Sergei Bernstein while he was working on approximation theory. (en) Le théorème de Bernstein est une inégalité reliant le maximum du module d'une fonction polynomiale complexe sur le disque unitaire avec le maximum du module de sa dérivée sur le disque unitaire. Ce résultat a été prouvé par Sergei Bernstein alors qu'il travaillait sur la théorie de l'approximation. (fr) |
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http://www.emis.de/journals/JIPAM/images/154_03_JIPAM/154_03.pdf |
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dbr:Inequality |
| rdfs:comment |
Bernstein's theorem is an inequality relating the maximum modulus of a complex polynomial function on the unit disk with the maximum modulus of its derivative on the unit disk. It was proven by Sergei Bernstein while he was working on approximation theory. (en) Le théorème de Bernstein est une inégalité reliant le maximum du module d'une fonction polynomiale complexe sur le disque unitaire avec le maximum du module de sa dérivée sur le disque unitaire. Ce résultat a été prouvé par Sergei Bernstein alors qu'il travaillait sur la théorie de l'approximation. (fr) |
| rdfs:label |
Bernstein's theorem (polynomials) (en) Théorème de Bernstein (polynômes) (fr) |
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