On some new paranormed euler sequence spaces and Euler Core
| dc.contributor.author | Demiriz, Serkan | |
| dc.contributor.author | Cakan, Celal | |
| dc.date.accessioned | 2024-08-04T20:32:24Z | |
| dc.date.available | 2024-08-04T20:32:24Z | |
| dc.date.issued | 2010 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | In this paper, the sequence spaces e (0) (r) (u, p) and e (c) (r) (u, p) of non-absolute type which are the generalization of the Maddox sequence spaces have been introduced and it is proved that the spaces e (0) (r) (u, p) and e (c) (r) (u, p) are linearly isomorphic to spaces c (0)(p) and c(p), respectively. Furthermore, the alpha-, beta- and gamma-duals of the spaces e (0) (r) (u, p) and e (c) (r) (u, p) have been computed and their bases have been constructed and some topological properties of these spaces have been investigated. Besides this, the class of matrices (e (0) (r) (u, p): A mu) has been characterized, where A mu is one of the sequence spaces a (a), c and c (0) and derives the other characterizations for the special cases of A mu. In the last section, Euler Core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core. | en_US |
| dc.identifier.doi | 10.1007/s10114-010-8334-x | |
| dc.identifier.endpage | 1222 | en_US |
| dc.identifier.issn | 1439-8516 | |
| dc.identifier.issn | 1439-7617 | |
| dc.identifier.issue | 7 | en_US |
| dc.identifier.scopus | 2-s2.0-77953494806 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 1207 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s10114-010-8334-x | |
| dc.identifier.uri | https://hdl.handle.net/11616/95059 | |
| dc.identifier.volume | 26 | en_US |
| dc.identifier.wos | WOS:000278572600002 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Acta Mathematica Sinica-English 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 | sequence spaces | en_US |
| dc.subject | matrix transformations | en_US |
| dc.subject | core of a sequence | en_US |
| dc.title | On some new paranormed euler sequence spaces and Euler Core | en_US |
| dc.type | Article | en_US |
