On Some Properties Paranormed Sequence Spaces Generated by Generalized Sequence Means and Core Theorems
dc.contributor.author | Karaisa, Ali | |
dc.contributor.author | Karabiyik, Umit | |
dc.date.accessioned | 2024-02-23T14:48:58Z | |
dc.date.available | 2024-02-23T14:48:58Z | |
dc.date.issued | 2017 | |
dc.department | NEÜ | en_US |
dc.description.abstract | Recently, Mursaleen and Noman constructed new sequence spaces by using a matrix domain over a normed space [On generalized means and some related sequence spaces, Comput. Math. Appl. 61 (2011) 988-999]. They also studied some topological properties of these spaces. In this work, we generalize the normed sequence space defined by Mursaleen and Noman to paranormed space. Furthermore, we introduce new sequence space over the paranormed space by using the expansion method. Then, we investigate some topological properties. Finally, we introduce generalized means core of a complex-valued sequence prove some inclusion theorems related to this new type of core. | en_US |
dc.identifier.endpage | 654 | en_US |
dc.identifier.issn | 1686-0209 | |
dc.identifier.issue | 3 | en_US |
dc.identifier.scopus | 2-s2.0-85041961809 | en_US |
dc.identifier.scopusquality | Q4 | en_US |
dc.identifier.startpage | 641 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12452/17924 | |
dc.identifier.volume | 15 | en_US |
dc.identifier.wos | WOS:000422728100005 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Chiang Mai Univ, Fac Science | en_US |
dc.relation.ispartof | Thai Journal Of Mathematics | 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 | Paranormed Sequence Space | en_US |
dc.subject | Alpha-, Beta And Gamma-Duals | en_US |
dc.subject | Core Theorems | en_US |
dc.subject | Generalized Means | en_US |
dc.title | On Some Properties Paranormed Sequence Spaces Generated by Generalized Sequence Means and Core Theorems | en_US |
dc.type | Article | en_US |