Akademik Veri Yönetim Sistemi
Abstract and Applied Analysis, cilt.2014, 2014 (Scopus)
Maddox defined the space ℓ (p) of the sequences x = (x k) such that k = 0 ∞ | x k | p k < in Maddox, 1967. In the present paper, the Nörlund sequence space N t (p) of nonabsolute type is introduced and proved that the spaces N t (p) and ℓ (p) are linearly isomorphic. Besides this, the alpha-, beta-, and gamma-duals of the space N t (p) are computed and the basis of the space N t (p) is constructed. The classes (N t (p): ) and (: N t (p)) of infinite matrices are characterized. Finally, some geometric properties of the space N t (p) are investigated. © 2014 Medine Yeşilkayagil and Feyzi Başar.