DOMAIN OF THE CESARO MEAN OF ORDER ? IN MADDOX'S SPACE l(p)

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dc.contributor.authorSavasci, Medine Yesilkayagil
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-08-04T20:55:05Z
dc.date.available2024-08-04T20:55:05Z
dc.date.issued2023
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe sequence space l(p) was defined by I. J. Maddox, Spaces of strongly summable sequences, Quart. J. Math. Oxford (2), 18 (1967), 345-355. Here, we introduce the paranormed Cesaro sequence space l(C-alpha, p) of order alpha, of non-absolute type as the domain of Cesaro mean C-alpha of order alpha and prove that the spaces l (C-alpha, p) and l(p) are linearly paranorm isomorphic. Besides this, we compute the alpha-, beta- and gamma-duals of the space l(C-alpha, p) and construct the basis of the space l(C-alpha, p) together with the characterization of the classes of matrix transformations from the space l(C-alpha, p) into the spaces l(infinity) of bounded sequences and f of almost convergent sequences, and any given sequence space Y, and from a given sequence space Y into the sequence space l(C-alpha, p). Finally, we emphasize on some geometric properties of the space l(C-alpha, p).en_US
dc.identifier.doi10.2298/PIM2328019Y
dc.identifier.endpage38en_US
dc.identifier.issn0350-1302
dc.identifier.issue128en_US
dc.identifier.scopus2-s2.0-85184473822en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage19en_US
dc.identifier.urihttps://doi.org/10.2298/PIM2328019Y
dc.identifier.urihttps://hdl.handle.net/11616/101804
dc.identifier.volume114en_US
dc.identifier.wosWOS:001136974800003en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPublications L Institut Mathematique Matematickien_US
dc.relation.ispartofPublications De L Institut Mathematique-Beograden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectparanormed sequence spaceen_US
dc.subjectalpha-, beta-and gamma-duals and matrix mappingsen_US
dc.titleDOMAIN OF THE CESARO MEAN OF ORDER ? IN MADDOX'S SPACE l(p)en_US
dc.typeArticleen_US

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