q-Fibonacci sequence spaces and related matrix transformations

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dc.authorscopusid58000430700
dc.authorscopusid55601657300
dc.authorscopusid6507253771
dc.contributor.authorAtabey, K.İ.
dc.contributor.authorÇınar, Muhammed
dc.contributor.authorEt, M.
dc.date.accessioned2023-01-10T21:23:28Z
dc.date.available2023-01-10T21:23:28Z
dc.date.issued2022
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we define the sequence spaces ?p(F^ q) (1 ? p< ?) , ??(F^ q) , c(F^ q) and c(F^ q) by using q-Fibonacci band matrix F^ q defined by F^q=F^nk(q)={-Fn+1(q)-1qnFn(q),k=n-1Fn+2(q)-1qnFn(q),k=n0,otherwise(k,n?N).We study some topological properties and give some inclusion relations for these spaces. In addition, we build a bases for the space ?p(F^ q) , compute ?-, ?-, ?- duals of the same space, characterize some matrix classes and examine some geometric properties. © 2022, The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics.en_US
dc.identifier.doi10.1007/s12190-022-01825-9
dc.identifier.issn1598-5865
dc.identifier.scopus2-s2.0-85143686765
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s12190-022-01825-9
dc.identifier.urihttps://hdl.handle.net/20.500.12639/4932
dc.identifier.wosWOS:001061096700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇınar, Muhammed
dc.language.isoen
dc.publisherInstitute for Ionicsen_US
dc.relation.ispartofJournal of Applied Mathematics and Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBanach-saks propertyen_US
dc.subjectBand matrixen_US
dc.subjectDual spacesen_US
dc.subjectMatrix transformen_US
dc.subjectq-Fibonacci numbersen_US
dc.subjectLinear transformationsen_US
dc.subjectMatrix algebraen_US
dc.subjectNumber theoryen_US
dc.subjectBanach-saks propertyen_US
dc.subjectBand matrixen_US
dc.subjectDual spacesen_US
dc.subjectFibonacci numbersen_US
dc.subjectFibonacci sequencesen_US
dc.subjectMatrix transformsen_US
dc.subjectPropertyen_US
dc.subjectQ-fibonacci numberen_US
dc.subjectRelated matricesen_US
dc.subjectSequence spaceen_US
dc.subjectTopologyen_US
dc.titleq-Fibonacci sequence spaces and related matrix transformationsen_US
dc.typeArticle

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