An Extension of Maddox's Paranormed Sequence Spaces with Narayana Numbers
Yazarlar (2)
Hacer Bilgin Ellidokuzoğlu Recep Tayyip Erdoğan Üniversitesi, Türkiye
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale) | ||
| Dergi Adı | Journal of New Results in Science | ||
| Dergi ISSN | 1304-7981 | ||
| Dergi Tarandığı Indeksler | TR DİZİN | ||
| Makale Dili | İngilizce | Basım Tarihi | 07-2025 |
| Cilt / Sayı / Sayfa | 14 / 2 / 138–151 | DOI | 10.54187/jnrs.1671958 |
| Makale Linki | https://dergipark.org.tr/en/pub/jnrs/article/1671958 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
|
||
| Özet |
| This study focuses on constructing an extended version of Maddox's paranormed sequence spaces, denoted by $c_0(N, p)$, $c(N, p)$, $\ell_\infty(N, p)$, and $\ell(N, p)$. The study aims to define and investigate the characteristics of these sequence spaces, along with their paranormed extensions. In particular, it develops a theoretical framework for Narayana sequence spaces, establishing their topological, algebraic, and matrix transformation properties. The Schauder basis for these spaces is introduced, laying the foundation for further functional analysis. The research also examines the $alpha$-, $\beta$-, and $\gamma$- duals of these spaces and investigates the conditions under which matrix transformations preserve their structural properties. The findings highlight the equivalences between these spaces and classical sequence spaces such as $\ell_1$, $c$, and $\ell_\infty$. |
| Anahtar Kelimeler |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 2 |