The Hahn sequence space generated by the Cesaro mean of order m

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dc.contributor.authorSavasci, Medine Yesilkayagil
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-08-04T20:54:48Z
dc.date.available2024-08-04T20:54:48Z
dc.date.issued2024
dc.departmentİnönü Üniversitesien_US
dc.description.abstractHahn (Math Phys 32:3-88, 1922) defined the sequence space h. The main purpose of this study is to introduce the new Hahn sequence space h(C-m) as the domain of Cesaro mean of order m and give some topological properties of the space h(Cm). Moreover, we determine the alpha-, beta-and gamma-duals of the space h(C-m) and characterize the classes (i1 : h), (h : 4), (h(C-m) : V-1) and (V-2 : h(Cm)) of matrix transformations, where 1 < p < infinity, V-1 is an element of {l(infinity), c, c(0), l(p)} and V-2 is any given sequence space. Finally, we compute the norm of the operators belonging to B(e(1), h(C-m)) and determine the Hausdorff measure of noncompactness of the operators in B(i(1), h(C-m)).en_US
dc.description.sponsorshipThe authors have also benefited much from the constructive report of the anonymous referee. So, they are thankful for his/her valuable comments on the first draft of this paper which improved the presentation and readability.en_US
dc.description.sponsorshipThe authors have also benefited much from the constructive report of the anonymous referee. So, they are thankful for his/her valuable comments on the first draft of this paper which improved the presentation and readability.en_US
dc.identifier.doi10.1007/s44146-023-00098-3
dc.identifier.endpage72en_US
dc.identifier.issn0001-6969
dc.identifier.issn2064-8316
dc.identifier.issue1-2en_US
dc.identifier.scopus2-s2.0-85175623268en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage53en_US
dc.identifier.urihttps://doi.org/10.1007/s44146-023-00098-3
dc.identifier.urihttps://hdl.handle.net/11616/101651
dc.identifier.volume90en_US
dc.identifier.wosWOS:001096094100001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Birkhauseren_US
dc.relation.ispartofActa Scientiarum Mathematicarumen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSequence spaceen_US
dc.subjectMatrix domainen_US
dc.subjectalpha- beta-and gamma-dualsen_US
dc.subjectMatrix mappingsen_US
dc.titleThe Hahn sequence space generated by the Cesaro mean of order men_US
dc.typeArticleen_US

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