On the Generalized B-m-Riesz Difference Sequence Space and beta-Property
| dc.contributor.author | Başarır, Metin | |
| dc.contributor.author | Kayıkçı, Mustafa | |
| dc.date.accessioned | 2020-04-30T23:20:07Z | |
| dc.date.available | 2020-04-30T23:20:07Z | |
| dc.date.issued | 2009 | |
| dc.department | DÜ, Düzce Meslek Yüksekokulu | en_US |
| dc.description | Basarir, Metin/0000-0002-4341-4399 | en_US |
| dc.description | WOS: 000270606300001 | en_US |
| dc.description.abstract | We introduce the generalized Riesz difference sequence space r(q)(p, B-m) which is defined by r(q)(p, B-m) = {x = (x(k)) is an element of w : B(m)x is an element of r(q)(p)} where r(q)(p) is the Riesz sequence space defined by Altay and Basar. We give some topological properties, compute the alpha_, beta_ duals, and determine the Schauder basis of this space. Finally; we study the characterization of some matrix mappings on this sequence space. At the end of the paper, we investigate some geometric properties of r(q)(p, B-m) and we have proved that this sequence space has property (beta) for p(k) >= 1. Copyright (C) 2009 M. Basarir and M. Kayikci. | en_US |
| dc.identifier.doi | 10.1155/2009/385029 | en_US |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.uri | https://doi.org/10.1155/2009/385029 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/3935 | |
| dc.identifier.wos | WOS:000270606300001 | 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 | Springer International Publishing Ag | en_US |
| dc.relation.ispartof | Journal Of Inequalities And Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | On the Generalized B-m-Riesz Difference Sequence Space and beta-Property | en_US |
| dc.type | Article | en_US |
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