On the Paranormed Nörlund Sequence Space of Nonabsolute Type

Maddox defined the space ℓ(p) of the sequences x=(xk) such that ∑k=0∞‍|xk|pk<∞, in Maddox, 1967. In the present paper, the Nörlund sequence space Nt(p) of nonabsolute type is introduced and proved that the spaces Nt(p) and ℓ(p) are linearly isomorphic. Besides this, the alpha-, beta-, and gamma-d...

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Bibliographic Details
Main Authors: Medine Yeşilkayagil, Feyzi Başar
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/858704