On the Spaces of N ¨orlund Almost Null and N ¨orlund Almost Convergent Sequences

Tuğ, Orhan (2016) On the Spaces of N ¨orlund Almost Null and N ¨orlund Almost Convergent Sequences. Filomat, 30 (3). pp. 773-783.

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Abstract

In this article, the sequence spaces f0(Nt ) and f(Nt ) are introduced as the domain of Norlund ¨ mean in the spaces f0 and f of almost null and almost convergent sequences which are isomorphic to the spaces f0 and f, respectively, and some inclusion relations are given. Additionally, alpha, beta and gamma duals of the sequence spaces f0(Nt ) and f(Nt ) are determined. Finally, the classes (λ(Nt ) : µ) and (µ : λ(Nt )) of matrix transformations are characterized for given sequence spaces λ and µ together with two Steinhaus type results.

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