Maddox defined the space of the sequences such that , in Maddox, 1967. In the present paper, the Nörlund sequence space of nonabsolute type is introduced and proved that the spaces and are linearly isomorphic. Besides this, the alpha-, beta-, and gamma-duals of the space are computed and the basis of the space is constructed. The classes and of infinite matrices are characterized. Finally, some geometric properties of the space are investigated.
Medine Yeşilkayagil. Feyzi Başar. "On the Paranormed Nörlund Sequence Space of Nonabsolute Type." Abstr. Appl. Anal. 2014 (SI26) 1 - 9, 2014. https://doi.org/10.1155/2014/858704