The Hahn sequence space generated by the Cesàro mean of order m
Acta Scientiarum Mathematicarum, cilt.90, sa.1-2, ss.53-72, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 90 Sayı: 1-2
- Basım Tarihi: 2024
- Doi Numarası: 10.1007/s44146-023-00098-3
- Dergi Adı: Acta Scientiarum Mathematicarum
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.53-72
- Anahtar Kelimeler: Sequence space, Matrix domain, alpha- beta-and gamma-duals, Matrix mappings
- Uşak Üniversitesi Adresli: Evet
Özet
Hahn (Math Phys 32:3–88, 1922) defined the sequence space h. The main purpose of this study is to introduce the new Hahn sequence space h(Cm) as the domain of Cesàro mean of order m and give some topological properties of the space h(Cm). Moreover, we determine the alpha-, beta- and gamma-duals of the space h(Cm) and characterize the classes (ℓ1:h), (h:ℓp), (h(Cm):V1) and (V2:h(Cm)) of matrix transformations, where 1