Asymptotic equivalence of double sequences

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dc.authorid0009-0006-8198-3433
dc.authorid0000-0003-2135-3094
dc.contributor.authorPatterson, Richard F.
dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2020-11-21T15:55:20Z
dc.date.available2020-11-21T15:55:20Z
dc.date.issued2012en_US
dc.departmentİstanbul Ticaret Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe goal of this paper is to present a four-dimensional matrix characterization of asymptotic equivalence of double sequences. This will be accomplished with the following notion of asymptotic equivalence of double sequences. Two double sequences are asymptotic equivalent if and only if P − limk,l xk,l yk,l = 1, where x and y are selected judicially. Using this notion necessary and sufficient conditions on the entries of a four-dimensional matrix are given to ensure that the transformation will preserve asymptotic equivalence.en_US
dc.identifier.citationPatterson, R. F., & Savaş, E. (2012). Asymptotic Equivalence of Double Sequences. Hacettepe Journal of Mathematics and Statistics, 41(4), 487–497.
dc.identifier.endpage497en_US
dc.identifier.issn1303-5010
dc.identifier.issn2651-477X
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84870285056en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage487en_US
dc.identifier.trdizinid139107en_US
dc.identifier.urihttps://app.trdizin.gov.tr/makale/TVRNNU1UQTNOdz09
dc.identifier.urihttps://hdl.handle.net/11467/3982
dc.identifier.volume41en_US
dc.identifier.wosWOS:000314375000006
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDivergent Double Sequencesen_US
dc.subjectSubsequences of a Double Sequencesen_US
dc.subjectPringsheim Limit Point
dc.subjectP-Convergent
dc.subjectP-Divergent
dc.subjectRH-Regular
dc.titleAsymptotic equivalence of double sequencesen_US
dc.typeArticleen_US

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