dc.contributor.author | Bektaş, Çiğdem | |
dc.contributor.author | Özçelik, Emine | |
dc.date.accessioned | 2021-02-21T14:18:38Z | |
dc.date.available | 2021-02-21T14:18:38Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 2667-7814 | |
dc.identifier.uri | https://dergipark.org.tr/tr/download/article-file/587424 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12868/1422 | |
dc.description.abstract | In this study, we introduce the concepts of strongly ($\Delta ^{m}$,p)-Cesàro summability, $\Delta ^{m}-statistical Cauchy sequence and $\Delta ^{m}-statistical convergence in a paronormed space. We give some certain properties of these concepts and some inclusion relations between them. | en_US |
dc.description.abstract | In this study, we introduce the concepts of strongly ? ? m ? ,p -Cesàro summability, m ? -statistical Cauchy sequence and m ? -statistical convergence in a paronormed space. We give some certain properties of these concepts and some inclusion relations between them. Fast [1] and Steinhaus [2] introduced the concept of statistical convergence for sequences of real numbers. Several authors studied this concept with related topics [3-5]. The asymptotic density of K N ? is defined as, ? ? n 1 (K) lim k n : k K ?? n ? ? ? ? where K be a subset of the set of natural numbers N and denoted by ? ?K?. . indicates the cardinality of the enclosed set. A sequence ?xk ? is called statistically covergent to L provided that ? k ? n 1 lim k n ? L 0 ?? n ? ? ? ? ? ? for each ?? 0 . It is denoted by lim k k st x L ?? ? ? . A sequence ??k ? is called statistically Cauchy sequence provided that there exist a number N N( ) ? ? such that | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Alanya Alaaddin Keykubat Üniversitesi | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Statistical convergence | en_US |
dc.subject | statistical Cauchy | en_US |
dc.subject | paranormed space | en_US |
dc.subject | Statistical convergence | en_US |
dc.subject | statistical Cauchy | en_US |
dc.subject | paranormed space | en_US |
dc.subject | difference sequence | en_US |
dc.title | On some properties of m ? -Statistical convergence in a paranormed space | en_US |
dc.title.alternative | On some properties of m ? -Statistical convergence in a paranormed space | en_US |
dc.type | article | en_US |
dc.contributor.department | ALKÜ | en_US |
dc.identifier.volume | 1 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 40 | en_US |
dc.identifier.endpage | 47 | en_US |
dc.relation.journal | ALKÜ Fen Bilimleri Dergisi | en_US |
dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Başka Kurum Yazarı | en_US |