Mersenne Matrix Operator and Its Application in $$p$$-Summable Sequence Space
Yazarlar (2)
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
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Özgün Makale
(Diğer hakemli uluslarası dergilerde yayınlanan tam makale)
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| Dergi Adı | Communications in Advanced Mathematical Sciences | ||
| Dergi ISSN | 2651-4001 | ||
| Dergi Tarandığı Indeksler | EBSCO | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2024 |
| Cilt / Sayı / Sayfa | 7 / 1 / 42–55 | DOI | 10.33434/cams.1414791 |
| Makale Linki | https://dergipark.org.tr/tr/pub/cams/issue/82888/1414791 | ||
| Özet |
| In this study, it is introduced the regular Mersenne matrix operator which is obtained by using Mersenne numbers and examined sequence spaces described as the domain of this matrix in the space of -summable sequences for . After that, it investigated some properties and inclusion relations, established the Schauder basis, and stated , , and duals of the aforementioned spaces. Additionally, it is characterized by the matrix classes from newly described spaces to classical sequence spaces. Finally, we studied the compactness of matrix operators on related sequence spaces. |
| Anahtar Kelimeler |
BM Sürdürülebilir Kalkınma Amaçları
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| Google Scholar | 19 |