About: Equioscillation theorem

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In mathematics, the equioscillation theorem concerns the approximation of continuous functions using polynomials when the merit function is the maximum difference (uniform norm). Its discovery is attributed to Chebyshev.

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rdf:type	yago:WikicatTheoremsInAnalysis yago:Abstraction100002137 yago:Communication100033020 yago:Function113783816 yago:MathematicalRelation113783581 yago:Message106598915 yago:Polynomial105861855 yago:Proposition106750804 yago:Relation100031921 disease yago:Statement106722453 yago:Theorem106752293 yago:WikicatPolynomials
rdfs:label	Alternantensatz (de) Equioscillation theorem (en)
rdfs:comment	Der Alternantensatz in der Approximationstheorie gibt eine notwendige und hinreichende Bedingung für die beste Approximation einer stetigen Funktion durch Polynome. Er wird dem russischen Mathematiker Pafnuti Lwowitsch Tschebyschow zugeschrieben. (de) In mathematics, the equioscillation theorem concerns the approximation of continuous functions using polynomials when the merit function is the maximum difference (uniform norm). Its discovery is attributed to Chebyshev. (en)
dcterms:subject	Numerical analysis Theorems in analysis Theorems about polynomials
Wikipage page ID	32446743 (xsd:integer)
Wikipage revision ID	1102462225 (xsd:integer)
Link from a Wikipage to another Wikipage	Minimax approximation algorithm Approximation theory Uniform norm Continuous function Mathematics Numerical analysis Pafnuty Chebyshev Remez algorithm Theorems in analysis Theorems about polynomials Polynomial
Link from a Wikipage to an external page	https://xn--2-umb.com/22/approximation/index.html http://www.maa.org/publications/periodicals/loci/joma/the-chebyshev-equioscillation-theorem https://web.archive.org/web/20110702221651/http:/www.math.uiowa.edu/~jeichhol/qual%20prep/Notes/cheb-equiosc-thm_2007.pdf http://encyclopediaofmath.org/index.php%3Ftitle=De_la_Vall%C3%A9e-Poussin_theorem&oldid=44785
sameAs	Equioscillation theorem Equioscillation theorem Equioscillation theorem Equioscillation theorem Equioscillation theorem
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Short_description dbt:Webarchive dbt:Mathanalysis-stub
date	2011-07-02 (xsd:date)
title	Notes on how to prove Chebyshev’s equioscillation theorem (en)
url	https://web.archive.org/web/20110702221651/http:/www.math.uiowa.edu/~jeichhol/qual%20prep/Notes/cheb-equiosc-thm_2007.pdf
has abstract	Der Alternantensatz in der Approximationstheorie gibt eine notwendige und hinreichende Bedingung für die beste Approximation einer stetigen Funktion durch Polynome. Er wird dem russischen Mathematiker Pafnuti Lwowitsch Tschebyschow zugeschrieben. (de) In mathematics, the equioscillation theorem concerns the approximation of continuous functions using polynomials when the merit function is the maximum difference (uniform norm). Its discovery is attributed to Chebyshev. (en)
gold:hypernym	Difference
prov:wasDerivedFrom	wikipedia-en:Equioscillation_theorem?oldid=1102462225&ns=0
page length (characters) of wiki page	3136 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Equioscillation_theorem
is Link from a Wikipage to another Wikipage of	List of numerical analysis topics Division algorithm Remez algorithm Chebyshev polynomials Polynomial interpolation Chebyshev's theorem List of things named after Pafnuty Chebyshev
is foaf:primaryTopic of	wikipedia-en:Equioscillation_theorem

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