Oresme Numbers and Associated BK-Sequence Spaces

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dc.contributor.authorErdem, Sezer
dc.contributor.authorDemiriz, Serkan
dc.date.accessioned2026-06-19T06:40:56Z
dc.date.available2026-06-19T06:40:56Z
dc.date.issued2025
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description.abstractThe aim of this research is to present the formulation of a new conservative matrix operator containing non-integer Oresme numbers, to obtain new BK-sequence spaces with the help of domains of this matrix operator on the spaces of convergent and null sequences. In the continuation of study, inclusion relations, alpha, beta and gamma duals, Schauder basis and matrix mapping classes concerning these spaces are introduced. Finally, compact operators on these novel sequence spaces are characterized by the utilization of Hausdorff measure of non-compactness.
dc.identifier.doi10.1007/s40995-024-01734-5
dc.identifier.endpage732
dc.identifier.issn2731-8095
dc.identifier.issn2731-8109
dc.identifier.issue3
dc.identifier.orcid0000-0001-9420-8264
dc.identifier.scopus2-s2.0-85208926286
dc.identifier.scopusqualityQ3
dc.identifier.startpage725
dc.identifier.urihttps://doi.org/10.1007/s40995-024-01734-5
dc.identifier.urihttps://hdl.handle.net/20.500.12899/5995
dc.identifier.volume49
dc.identifier.wosWOS:001352550000001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Int Publ Ag
dc.relation.ispartofIranian Journal of Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260612
dc.subjectOresme Numbers
dc.subjectSequence Spaces
dc.subjectMatrix Mappings
dc.subjectHausdorff Measure Of Non-Compactness
dc.subjectCompact Operators
dc.titleOresme Numbers and Associated BK-Sequence Spaces
dc.typeArticle

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