Some new difference sequence spaces

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dc.authorwosidBaşar, Feyzi/X-4419-2019
dc.contributor.authorAydin, C
dc.contributor.authorBasar, F
dc.date.accessioned2024-08-04T20:30:51Z
dc.date.available2024-08-04T20:30:51Z
dc.date.issued2004
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe difference sequence spaces l(infinity)(Delta), c(Delta) and c(0)(Delta) were studied by Kizmaz [Canad. Math. Bull. 24 (2) (1981) 169]. The sequence spaces a(0)(r) and a(c)(r) have been recently defined and examined by Aydin and Basar in [Hokkaido Math. J., in press]. The main purpose of the present paper is to introduce the spaces a(0)(r)(Delta) and a(c)(r)(Delta) of difference sequences. Moreover, it is proved that the spaces a(0)(r)(Delta) and a(c)(r)(Delta) are the BK-spaces including the spaces c(0) and c, and some inclusion relations have been given. It is also proved that the sequence space a(0)(r) has AD property while the space a(0)(r)(Delta) has not. Furthermore, the basis and the alpha-, beta- and gamma-duals of the spaces a(0)(r)(Delta) and a(c)(r)(Delta) have been determined. The last section of the paper has been devoted to theorems on the characterizations of the matrix classes (a(c)(r)(Delta) : l(p)) and (a(c)(r)(Delta) : c), and the characterizations of some other matrix classes have been obtained by means of a given basic lemma, where 1 less than or equal to p less than or equal to infinity. (C) 2003 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2003.08.055
dc.identifier.endpage693en_US
dc.identifier.issn0096-3003
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-4544346777en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage677en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2003.08.055
dc.identifier.urihttps://hdl.handle.net/11616/94572
dc.identifier.volume157en_US
dc.identifier.wosWOS:000224350800008en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectdifference sequence spacesen_US
dc.subjectAD propertyen_US
dc.subjectSchauder basisen_US
dc.subjectThe alpha-,beta- and gamma-dualsen_US
dc.subjectMatrix mappingsen_US
dc.titleSome new difference sequence spacesen_US
dc.typeArticleen_US

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