About: Chain sequence

An Entity of Type: Fraction113732078, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

In the analytic theory of continued fractions, a chain sequence is an infinite sequence {an} of non-negative real numbers chained together with another sequence {gn} of non-negative real numbers by the equations where either (a) 0 ≤ gn < 1, or (b) 0 < gn ≤ 1. Chain sequences arise in the study of the convergence problem – both in connection with the , and also as part of the theory of positive definite continued fractions. The infinite continued fraction of Worpitzky's theorem contains a chain sequence. A closely related theorem shows that

Property Value
dbo:abstract
  • In the analytic theory of continued fractions, a chain sequence is an infinite sequence {an} of non-negative real numbers chained together with another sequence {gn} of non-negative real numbers by the equations where either (a) 0 ≤ gn < 1, or (b) 0 < gn ≤ 1. Chain sequences arise in the study of the convergence problem – both in connection with the , and also as part of the theory of positive definite continued fractions. The infinite continued fraction of Worpitzky's theorem contains a chain sequence. A closely related theorem shows that converges uniformly on the closed unit disk |z| ≤ 1 if the coefficients {an} are a chain sequence. (en)
dbo:wikiPageID
  • 9078833 (xsd:integer)
dbo:wikiPageLength
  • 2624 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 789001226 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dcterms:subject
rdf:type
rdfs:comment
  • In the analytic theory of continued fractions, a chain sequence is an infinite sequence {an} of non-negative real numbers chained together with another sequence {gn} of non-negative real numbers by the equations where either (a) 0 ≤ gn < 1, or (b) 0 < gn ≤ 1. Chain sequences arise in the study of the convergence problem – both in connection with the , and also as part of the theory of positive definite continued fractions. The infinite continued fraction of Worpitzky's theorem contains a chain sequence. A closely related theorem shows that (en)
rdfs:label
  • Chain sequence (en)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageDisambiguates of
is dbo:wikiPageRedirects of
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License