Some new paranormed sequence spaces and core theorems

dc.contributor.authorKaraisa, Ali
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-02-23T14:17:04Z
dc.date.available2024-02-23T14:17:04Z
dc.date.issued2014
dc.departmentNEÜen_US
dc.description2nd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 11-13, 2014 -- Shymkent, KAZAKHSTANen_US
dc.description.abstractLet mu is an element of{l(infinity), c, c(0)}. In this study, by using lambda matrix. and difference matrix B, we introduce the new nonabsolute type paranormed sequence space mu(lambda, B; p) and prove that mu(lambda, B; p) and mu(p) linearly isomorphic. Further, we give some inclusion relations concerning the space mu(lambda, B; p). Afterwards, we determine the alpha-, beta- and gamma-duals of the space mu(lambda, p; B). We also give the characterization of the classes (mu(lambda, B; p) : nu) and (nu : mu(lambda, B; p)), where. is any given sequence space. Moreover, we introduce the Lambda-core of a complex valued sequence and determine the necessary and sufficient conditions on a matrix Lambda for which Lambda- core(Lambda x) subset of K core(x) and Lambda core(Ax) subset of st core(x) for all x subset of l(infinity).en_US
dc.description.sponsorshipM Auezov S Kazakhstan State Univ,Fatih Univ,Gumushane Univen_US
dc.identifier.doi10.1063/1.4893864
dc.identifier.endpage391en_US
dc.identifier.isbn978-0-7354-1247-7
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-84907344042en_US
dc.identifier.startpage380en_US
dc.identifier.urihttps://doi.org/10.1063/1.4893864
dc.identifier.urihttps://hdl.handle.net/20.500.12452/12927
dc.identifier.volume1611en_US
dc.identifier.wosWOS:000343720600071en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofInternational Conference On Analysis And Applied Mathematics (Icaam 2014)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectParanormed Sequence Spaceen_US
dc.subjectMatrix Domainen_US
dc.subjectAlpha-Dualen_US
dc.subjectBeta-Dualen_US
dc.subjectGamma-Dualen_US
dc.subjectMatrix Transformationsen_US
dc.subjectBk-Spaceen_US
dc.subjectLambdacore Of A Sequenceen_US
dc.titleSome new paranormed sequence spaces and core theoremsen_US
dc.typeConference Objecten_US

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