ASYMPTOTIC EQUIVALENCE OF DOUBLE SEQUENCES

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dc.contributor.authorPatterson, Richard F.
dc.contributor.authorSavas, Ekrem
dc.date.accessioned2024-10-12T19:43:08Z
dc.date.available2024-10-12T19:43:08Z
dc.date.issued2012
dc.departmentİstanbul Ticaret Üniversitesien_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 - lim(k), (l) x(k,) (l)/y(k,) (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.description.sponsorshipScientific and Technical Research Council of Turkeyen_US
dc.description.sponsorshipThe first author acknowledges support from the Scientific and Technical Research Council of Turkey.en_US
dc.identifier.endpage497en_US
dc.identifier.issn1303-5010
dc.identifier.issue4en_US
dc.identifier.startpage487en_US
dc.identifier.urihttps://hdl.handle.net/11467/8778
dc.identifier.volume41en_US
dc.identifier.wosWOS:000314375000006en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_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/closedAccessen_US
dc.snmzWoS_2024en_US
dc.subjectDivergent double sequencesen_US
dc.subjectSubsequences of a double sequencesen_US
dc.subjectPringsheim limit pointen_US
dc.subjectP-convergenten_US
dc.subjectP-divergenten_US
dc.subjectRH-regularen_US
dc.titleASYMPTOTIC EQUIVALENCE OF DOUBLE SEQUENCESen_US
dc.typeArticleen_US

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