Norms and lower bounds of some matrix operators on Fibonacci weighted difference sequence space

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dc.contributor.authorİlkhan, Merve
dc.date.accessioned2020-04-30T23:19:43Z
dc.date.available2020-04-30T23:19:43Z
dc.date.issued2019
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionIlkhan, Merve/0000-0002-0831-1474en_US
dc.descriptionWOS: 000503431300003en_US
dc.description.abstractNorm of an operator T : X -> Y is the best possible value of U satisfying the inequality parallel to Tx parallel to(Y) <= U parallel to x parallel to(X), and lower bound for T is the value of L satisfying the inequality parallel to Tx parallel to(Y) >= L parallel to x parallel to(X), where parallel to.parallel to(X) and parallel to.parallel to(Y) are the norms on the spaces X and Y, respectively. The main goal of this paper is to compute norms and lower bounds for some matrix operators from the weighted sequence space. l(p)(w) into a new space called as Fibonacci weighted difference sequence space. For this purpose, we firstly introduce the Fibonacci difference matrix (F) over tilde and the space consisting of sequences whose (F) over tilde -transforms are in l(p)((w) over tilde).en_US
dc.identifier.doi10.1002/mma.5244en_US
dc.identifier.endpage5153en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue16en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage5143en_US
dc.identifier.urihttps://doi.org/10.1002/mma.5244
dc.identifier.urihttps://hdl.handle.net/20.500.12684/3832
dc.identifier.volume42en_US
dc.identifier.wosWOS:000503431300003en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods In The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFibonacci numbersen_US
dc.subjectmatrix operatorsen_US
dc.subjectquasi summable matricesen_US
dc.subjectsequence spacesen_US
dc.titleNorms and lower bounds of some matrix operators on Fibonacci weighted difference sequence spaceen_US
dc.typeArticleen_US

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