ALMOST CONVERGENCE AND DOUBLE SEQUENTIAL BAND MATRIX

dc.authoridcandan, murat/0000-0002-1941-7442
dc.authorwosidcandan, murat MC/I-3872-2018
dc.contributor.authorCandan, Murat
dc.date.accessioned2024-08-04T20:39:39Z
dc.date.available2024-08-04T20:39:39Z
dc.date.issued2014
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe class f of almost convergent sequences was introduced by G.G. Lorentz, using the idea of the Banach limits [A contribution to the theory of divergent sequences, Acta Math. 80(1948), 167-190]. Let f(0) ((B) over tilde) and f((B) over tilde) be the domain of the double sequential band matrix (B) over tilde((r) over tilde, (s) over tilde) in the sequence spaces f(0) and f. In this article, the beta- and gamma-duals of the space f(/3) are determined. Additionally, we give some inclusion theorems concerning with the spaces f(0)((B) over tilde) and f((B) over tilde). Moreover, the classes (f ((B) over tilde) :,mu,) and (mu : f((B) over tilde)) of infinite matrices are characterized, and the characterizations of some other classes are also given as an application of those main results, where mu is an arbitrary sequence space.en_US
dc.identifier.doi10.1016/S0252-9602(14)60010-2
dc.identifier.endpage366en_US
dc.identifier.issn0252-9602
dc.identifier.issn1572-9087
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84897666175en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage354en_US
dc.identifier.urihttps://doi.org/10.1016/S0252-9602(14)60010-2
dc.identifier.urihttps://hdl.handle.net/11616/96400
dc.identifier.volume34en_US
dc.identifier.wosWOS:000333479300010en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofActa Mathematica Scientiaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAlmost convergenceen_US
dc.subjectmatrix domain of a sequence spaceen_US
dc.subjectgeneralized difference matrixen_US
dc.subjectbeta- and gamma-duals and matrix transformationsen_US
dc.titleALMOST CONVERGENCE AND DOUBLE SEQUENTIAL BAND MATRIXen_US
dc.typeArticleen_US

Dosyalar