The purpose of this paper is to introduce a new almost convergent sequence space by means of a matrix involving Catalan and Motzkin numbers. It is demonstrated that this novel sequence space and the space of all almost convergent sequences are linearly isomorphic and the $\beta$-dual of this new space is deduced. In addition, by defining Catalan-Motzkin core of a complex-valued sequence, certain inclusion relations are derived for it.
Catalan numbers almost convergence sequence spaces core theorems
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Erken Görünüm Tarihi | 14 Eylül 2023 |
Yayımlanma Tarihi | 27 Ağustos 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 53 Sayı: 4 |