About: Bernstein's theorem (polynomials)

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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.

Attributes	Values
rdfs:label	Bernstein's theorem (polynomials) (en) Théorème de Bernstein (polynômes) (fr)
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)
dcterms:subject	Approximation theory Theorems about polynomials
Wikipage page ID	47699360 (xsd:integer)
Wikipage revision ID	986583499 (xsd:integer)
Link from a Wikipage to another Wikipage	Rouché's theorem Derivative Approximation theory Approximation theory Paul Erdős Peter Lax Remez inequality Complex plane Mathematical analysis Gauss–Lucas theorem Markov brothers' inequality Oxford University Press Theorems about polynomials Polynomial Sergei Bernstein
Link from a Wikipage to an external page	http://www.emis.de/journals/JIPAM/images/154_03_JIPAM/154_03.pdf
sameAs	Bernstein's theorem (polynomials) Bernstein's theorem (polynomials) Bernstein's theorem (polynomials) Bernstein's theorem (polynomials)
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Cite_journal dbt:Reflist
has 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)
gold:hypernym	Inequality
prov:wasDerivedFrom	wikipedia-en:Bernstein's_theorem_(polynomials)?oldid=986583499&ns=0
page length (characters) of wiki page	4325 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Bernstein's_theorem_(polynomials)
is Link from a Wikipage to another Wikipage of	Bernstein's theorem (Polynomials) Bernstein's inequality (mathematical analysis) Bernstein's theorem Bernstein's inequality in mathematical analysis Bernstein inequality (mathematical analysis)
is Wikipage redirect of	Bernstein's theorem (Polynomials) Bernstein's inequality (mathematical analysis) Bernstein's inequality in mathematical analysis Bernstein inequality (mathematical analysis)
is Wikipage disambiguates of	Bernstein's theorem
is foaf:primaryTopic of	wikipedia-en:Bernstein's_theorem_(polynomials)

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