Multidimensional matrix characterization of equivalent double sequences

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dc.contributor.authorPatterson, Richard F.
dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2020-11-21T15:53:17Z
dc.date.available2020-11-21T15:53:17Z
dc.date.issued2012en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractIn 1936 Hamilton presented a Silverman-Toeplitz type characterization of c?0 (i.e. the space of bounded double Pringsheim null sequences). In this paper we begin with the presentation of a notion of asymptotically statistical regular. Using this definition and the concept of maximum remaining difference for double sequence, we present the following Silverman-Toeplitz type characterization of double statistical rate of convergence: let A be a nonnegative c?0-c?0 summability matrix and let [x] and [y] be member of l? such that <img src=/fulltext-image.asp?format= htmlnonpaginated&src=572317679G4412V5-html\MediaObjects/12-2012-1206-Fig1- HTML.gif border=0/> with [x] P<0, and [y] P< ? for some ? > 0 then ?(Ax) <img src=/fulltext-image.asp?format= htmlnonpaginated&src=572317679G4412V5-html\MediaObjects/12-2012-1206-Fig2- HTML.gif border=0/> ?(Ay). In addition other implications and variations shall also be presented.en_US
dc.identifier.doi10.1556/SScMath.49.2012.2.1206en_US
dc.identifier.endpage281en_US
dc.identifier.issn0081-6906
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84863603898en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage269en_US
dc.identifier.urihttps://doi.org/10.1556/SScMath.49.2012.2.1206
dc.identifier.urihttps://hdl.handle.net/11467/3532
dc.identifier.volume49en_US
dc.identifier.wosWOS:000306005400011en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofStudia Scientiarum Mathematicarum Hungaricaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectasymptotical statistically regularen_US
dc.subjectP-convergenten_US
dc.subjectPrimary 42B15en_US
dc.subjectSecondary 40C05en_US
dc.titleMultidimensional matrix characterization of equivalent double sequencesen_US
dc.typeArticleen_US

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