Domain of Riesz mean in some spaces of double sequences
| dc.authorwosid | Başar, Feyzi/X-4419-2019 | |
| dc.contributor.author | Yesilkayagil, Medine | |
| dc.contributor.author | Basar, Feyzi | |
| dc.date.accessioned | 2024-08-04T20:44:26Z | |
| dc.date.available | 2024-08-04T20:44:26Z | |
| dc.date.issued | 2018 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | In this study, we define the double sequence spaces (M-u)(Rqt), (Cp)(Rqt), (C-bp)(Rqt) and (C-r)(Rqt) as the domain of four dimensional Riesz mean R-qt in the spaces M-u, C-p, C-bp and C-r, respectively. Then, we examine some topological properties of those sequence spaces and we characterize the RH-regularity of the Riesz mean R-qt. Taking v is an element of{p, bp, r}, we determine the beta(v)-duals of the spaces (C-v)(Rqt) and we characterize the classes ((C-r)(Rqt) : C-v), (mu : (C-v)(Rqt)) and ((C-v)(Rqt) : C-f) of four-dimensional matrix transformations, where mu and C-f denote any given double sequence space and the space of almost convergent double sequences, respectively. (C) 2018 Published by Elsevier B.V. on behalf of Royal Dutch Mathematical Society (KWG). | en_US |
| dc.identifier.doi | 10.1016/j.indag.2018.03.006 | |
| dc.identifier.endpage | 1029 | en_US |
| dc.identifier.issn | 0019-3577 | |
| dc.identifier.issn | 1872-6100 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-85045708647 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 1009 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.indag.2018.03.006 | |
| dc.identifier.uri | https://hdl.handle.net/11616/98247 | |
| dc.identifier.volume | 29 | en_US |
| dc.identifier.wos | WOS:000435746700017 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.ispartof | Indagationes Mathematicae-New Series | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Summability theory | en_US |
| dc.subject | Double sequences | en_US |
| dc.subject | Double series | en_US |
| dc.subject | Alpha-, beta- and gamma-duals | en_US |
| dc.subject | Matrix domain of 4-dimensional matrices | en_US |
| dc.subject | Matrix transformations | en_US |
| dc.title | Domain of Riesz mean in some spaces of double sequences | en_US |
| dc.type | Article | en_US |
