Some New Cesàro Sequence Spaces of Order α
Ukrainian Mathematical Journal, cilt.76, sa.3, ss.484-500, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 76 Sayı: 3
- Basım Tarihi: 2024
- Doi Numarası: 10.1007/s11253-024-02333-8
- Dergi Adı: Ukrainian Mathematical Journal
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.484-500
- Uşak Üniversitesi Adresli: Evet
Özet
We introduce the spaces l∞(cα), f(cα), and f0(cα) of Cesàro bounded, Cesàro almost convergent, and Cesàro almost null sequences of order α, respectively. Moreover, we establish some inclusion relations for these spaces and determine the α -, β- and γ-duals of the spaces l∞ (cα) and f(cα). Finally, we characterize the classes of matrix transformations from the space f(cα) to any sequence space Y and from any sequence space Y to the space f(cα).