On the Paranormed Space of Bounded Variation Double Sequences

dc.contributor.authorYesilkayagil, Medine
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-08-04T20:46:46Z
dc.date.available2024-08-04T20:46:46Z
dc.date.issued2020
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, as the domain of four-dimensional backward difference matrix in the space Lu(t), we introduce the complete paranormed space BV(t) of bounded variation double sequences and examine some properties of that space. Also, we determine the gamma-dual and beta(theta)-dual of the space BV(t). Finally, we characterize the classes (BV(t):Mu), (BV(t):C theta) and (Lu(t):mu) with mu is an element of{BS,CS theta,Mu(Delta),C theta(Delta)}, where Mu(Delta) and C theta(Delta) denote the spaces of all double sequences whose Delta-transforms are in the spaces Mu and C theta, respectively.en_US
dc.identifier.doi10.1007/s40840-019-00829-2
dc.identifier.endpage2712en_US
dc.identifier.issn0126-6705
dc.identifier.issn2180-4206
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85072159709en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage2701en_US
dc.identifier.urihttps://doi.org/10.1007/s40840-019-00829-2
dc.identifier.urihttps://hdl.handle.net/11616/98953
dc.identifier.volume43en_US
dc.identifier.wosWOS:000528770100039en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringernatureen_US
dc.relation.ispartofBulletin of The Malaysian Mathematical Sciences Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSummability theoryen_US
dc.subjectDouble sequencesen_US
dc.subjectDouble seriesen_US
dc.subjectAlphaen_US
dc.subjectbeta and gamma dualsen_US
dc.subjectMatrix domain of four-dimensional matricesen_US
dc.subjectMatrix transformationsen_US
dc.titleOn the Paranormed Space of Bounded Variation Double Sequencesen_US
dc.typeArticleen_US

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