A category theorem for double sequences

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dc.contributor.authorPatterson, Richard F.
dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2020-11-21T15:53:32Z
dc.date.available2020-11-21T15:53:32Z
dc.date.issued2011en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractThe goal of this paper is to present the following multidimensional category theorem for double sequences via four-dimensional matrix transformations. The set of second category double subsequences of the double sequence (sk,l) is summable by a four-dimensional RH-regular matrix A=(am,n,k,l) if and only if (sk,l) is P-convergent. This theorem is established using multidimensional sliding hump constructions for bounded and unbounded doubles sequences. © 2011 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.aml.2011.04.017en_US
dc.identifier.endpage1684en_US
dc.identifier.issn0893-9659
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-79957556711en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1680en_US
dc.identifier.urihttps://doi.org/10.1016/j.aml.2011.04.017
dc.identifier.urihttps://hdl.handle.net/11467/3613
dc.identifier.volume24en_US
dc.identifier.wosWOS:000291912300011en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofApplied Mathematics Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDivergent double sequencesen_US
dc.subjectP-convergenten_US
dc.subjectP-divergenten_US
dc.subjectPringsheim limit pointen_US
dc.subjectRH-regularen_US
dc.subjectSubsequences of a double sequencesen_US
dc.titleA category theorem for double sequencesen_US
dc.typeArticleen_US

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