THE GENERALISED DOUBLE HAHN SEQUENCE SPACE Hdϑ
Acta Mathematica Universitatis Comenianae, cilt.93, sa.2, ss.101-114, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 93 Sayı: 2
- Basım Tarihi: 2024
- Dergi Adı: Acta Mathematica Universitatis Comenianae
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.101-114
- Anahtar Kelimeler: matrix domain, Sequence space, α-, β-and γ-duals and matrix mappings
- Uşak Üniversitesi Adresli: Evet
Özet
Suppose that ϑ ϵ {bp, r}. In this study, we introduce the generalised double Hahn sequence space Hϑd as an extension of generalised Hahn sequence space hd defined by Goes [J. Math. Anal. Appl. 39 (1972), 477–494]. We give some topological properties of this space. Then, we characterize the classes(Hϑd:W) of four dimensional infinite matrices, where W ϵ{Cϑ, Mu, Lu, Hϑd}.Finally, we determine the α-dual of the space Hϑdand β(bp)- and γ-duals of the space Hrd.