On the Euler sequence spaces which include the spaces lp and l?I
| dc.authorid | Mursaleen, M./0000-0003-4128-0427 | |
| dc.authorid | ALTAY, BİLAL/0000-0002-2400-7122 | |
| dc.authorwosid | Başar, Feyzi/X-4419-2019 | |
| dc.authorwosid | Mursaleen, M./A-6146-2013 | |
| dc.authorwosid | ALTAY, BİLAL/ABG-9578-2020 | |
| dc.contributor.author | Altay, B | |
| dc.contributor.author | Basar, F | |
| dc.contributor.author | Mursaleen, M | |
| dc.date.accessioned | 2024-08-04T20:15:17Z | |
| dc.date.available | 2024-08-04T20:15:17Z | |
| dc.date.issued | 2006 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | In the present paper, we introduce the Euler sequence space e(p)(r) consisting of all sequences whose Euler transforms of order r are in the space e,, of non-absolute type which is the BK-space including the space l(p) and prove that the spaces e(p)(r) and l(p) are linearly isomorphic for 1 <= p <= infinity. Furthermore, we give some inclusion relations concerning the space e(p)(r). Finally, we determine the alpha-, beta- and gamma-duals of the space e(p)(r) for 1 <= p <= infinity and construct the basis for the space e(p)(r), where 1 <= P <= infinity. (c) 2005 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.ins.2005.05.008 | |
| dc.identifier.endpage | 1462 | en_US |
| dc.identifier.issn | 0020-0255 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopus | 2-s2.0-33644690630 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 1450 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.ins.2005.05.008 | |
| dc.identifier.uri | https://hdl.handle.net/11616/94293 | |
| dc.identifier.volume | 176 | en_US |
| dc.identifier.wos | WOS:000236435000009 | 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 Inc | en_US |
| dc.relation.ispartof | Information Sciences | 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 | Euler sequence spaces of non-absolute type | en_US |
| dc.subject | BK-space | en_US |
| dc.subject | The alpha-, beta- and gamma-duals | en_US |
| dc.subject | Schauder basis | en_US |
| dc.title | On the Euler sequence spaces which include the spaces lp and l?I | en_US |
| dc.type | Article | en_US |
