On the Spaces of Norlund Almost Null and Norlund Almost Convergent Sequences

In this article, the sequence spaces f(0)(N-t) and f(N-t) are introduced as the domain of Norlund mean in the spaces f(0) and f of almost null and almost convergent sequences which are isomorphic to the spaces f(0) and f, respectively, and some inclusion relations are given. Additionally, alpha, beta and gamma duals of the sequence spaces f(0)(N-t) and f(N-t) are determined. Finally, the classes (lambda(N-t) : mu) and (mu : lambda(N-t)) of matrix transformations are characterized for given sequence spaces lambda and mu together with two Steinhaus type results.