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dc.contributor.authorBaşarır, Metin
dc.contributor.authorKara, Emrah Evren
dc.date.accessioned2021-10-12T12:09:15Z
dc.date.available2021-10-12T12:09:15Z
dc.date.issued2013en_US
dc.identifier.citationBAŞARIR, M., & Kara, E. E. (2013). On the mth order difference sequence space of generalized weighted mean and compact operators. Acta Mathematica Scientia, 33(3), 797-813.en_US
dc.identifier.issn0252-9602
dc.identifier.issn1572-9087
dc.identifier.uri0252-9602
dc.identifier.urihttp://dx.doi.org/10.1016/S0252-9602(13)60039-9
dc.identifier.urihttps://hdl.handle.net/11552/2093
dc.description.abstractIn this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l(u, v, p; Delta((m))), which consist of the sequences whose generalized weighted Delta((m))-difference means are in the linear space l(p) defined by I.J.Maddox. Also, we determine the basis of this space and compute its alpha-, beta- and gamma-duals. Further, we give the characterization of the classes of matrix mappings from l(u, v, p, Delta((m))) to l(infinity), c, and c(o). Finally, we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space l(p)(u, v, Delta((m))) (1 <= p < infinity).en_US
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.identifier.doi10.1016/S0252-9602(13)60039-9en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectParanormed Sequence Spacesen_US
dc.subjectDifference Sequence Spacesen_US
dc.subjectWeighted Meanen_US
dc.subjectα-,β-,γ-dualsen_US
dc.subjectMatrix Mappings;en_US
dc.subjectHausdorff Measure of Noncompactnessen_US
dc.subjectCompact Operatorsen_US
dc.titleOn the mth order difference sequence space of generalized weighted mean and compact operatorsen_US
dc.typearticleen_US
dc.relation.ispartofActa Mathematica Scientiaen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.authorid0000-0002-6398-4065en_US
dc.identifier.volume33en_US
dc.identifier.issue3en_US
dc.identifier.startpage797en_US
dc.identifier.endpage813en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.relation.indexScopusen_US
dc.relation.indexWoSen_US
dc.relation.indexWoS - Science Citation Index Expandeden_US
dc.contributor.institutionauthorKara, Emrah Evren
dc.description.wospublicationidWOS:000319528500016en_US
dc.description.wosqualityQ2en_US


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