The Hahn sequence space generated by the Cesaro mean of order m
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Birkhauser
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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(C-m) as the domain of Cesaro 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(C-m) and characterize the classes (i1 : h), (h : 4), (h(C-m) : V-1) and (V-2 : h(Cm)) of matrix transformations, where 1 < p < infinity, V-1 is an element of {l(infinity), c, c(0), l(p)} and V-2 is any given sequence space. Finally, we compute the norm of the operators belonging to B(e(1), h(C-m)) and determine the Hausdorff measure of noncompactness of the operators in B(i(1), h(C-m)).
Açıklama
Anahtar Kelimeler
Sequence space, Matrix domain, alpha- beta-and gamma-duals, Matrix mappings
Kaynak
Acta Scientiarum Mathematicarum
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
90
Sayı
1-2
