New Sequence Spaces Generated via a Matrix Defined by Schröder and Catalan Numbers
Yazarlar (3)
Hacer Bilgin Ellidokuzoğlu Recep Tayyip Erdoğan Üniversitesi, Türkiye
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Sezer Erdem Malatya Turgut Özal Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Sahand Communications in Mathematical Analysis | ||
| Dergi ISSN | 2423-3900 Dergi Bilgileri (2026) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2026 |
| Cilt / Sayı / Sayfa | 23 / 1 / 123–143 | DOI | 10.22130/scma.2025.2066829.2265 |
| Makale Linki | https://scma.maragheh.ac.ir/article_732334.html | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| This study introduces the sequence spaces and , defined as the domain of the matrix constructed from a hybrid structure involving Schr\"{o}der and Catalan numbers. A comprehensive investigation is conducted into the fundamental topological and structural properties of these sequence spaces, such as completeness and their relationships and embedding within classical sequence spaces. Furthermore, the dual space structures corresponding to these newly defined spaces are thoroughly characterized. In the final sections, various classes of matrix transformations and compact linear operators acting on these sequence spaces are examined, emphasizing their significance in functional analysis. |
| Anahtar Kelimeler |
| Compact operators | Duals | Matrix transformations | Schröder and Catalan numbers | Sequence spaces |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 2 |
| Scopus | 1 |
| Google Scholar | 3 |