Some paranormed sequence spaces of non-absolute type derived by weighted mean

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dc.authoridALTAY, BİLAL/0000-0002-2400-7122
dc.authorwosidALTAY, BİLAL/ABG-9578-2020
dc.contributor.authorAltay, Bilal
dc.contributor.authorBapar, Feyzi
dc.date.accessioned2024-08-04T20:15:24Z
dc.date.available2024-08-04T20:15:24Z
dc.date.issued2006
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe sequence spaces l(infinity) (p), c(p) and c(0)(p) were introduced and studied by Maddox [I.J. Maddox, Paranormed sequence spaces generated by infinite matrices, Proc. Cambridge Philos. Soc. 64 (1968) 335-340]. In the present paper, the sequence spaces lambda(u, v; p) of non-absolute type which are derived by the generalized weighted mean are defined and proved that the spaces lambda(u, v; p) and lambda(p) are linearly isomorphic, where. denotes the one of the sequence spaces l(infinity), c or c(0). Besides this, the beta- and gamma-duals of the spaces lambda(u, v; p) are computed and the basis of the spaces c(0)(u, v; p) and c(u, v; p) is constructed. Additionally, it is established that the sequence space c(0)(u, v) has AD property and given the f-dual of the space c(0)(u, v; p). Finally, the matrix mappings from the sequence spaces lambda(u, v; p) to the sequence space mu and from the sequence space mu to the sequence spaces lambda(u, v; p) are characterized. (c) 2005 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.jmaa.2005.06.055
dc.identifier.endpage508en_US
dc.identifier.issn0022-247X
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-33646091735en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage494en_US
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2005.06.055
dc.identifier.urihttps://hdl.handle.net/11616/94369
dc.identifier.volume319en_US
dc.identifier.wosWOS:000240390700009en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAcademic Press Inc Elsevier Scienceen_US
dc.relation.ispartofJournal of Mathematical Analysis and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectparanormed sequence spaceen_US
dc.subjectf-en_US
dc.subjectbeta-en_US
dc.subjectand gamma-dualsen_US
dc.subjectweighted meanen_US
dc.subjectAD property and matrix mappingsen_US
dc.titleSome paranormed sequence spaces of non-absolute type derived by weighted meanen_US
dc.typeArticleen_US

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