Almost convergence and generalized weighted mean II

Kirisci M.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (SCI-Expanded) identifier identifier


In this paper, we investigate some new sequence spaces, which naturally emerge from the concepts of almost convergence and generalized weighted mean. The object of this paper is to introduce the new sequence spaces obtained as the matrix domain of generalized weighted mean in the spaces of almost null and almost convergent sequences. Furthermore, the beta and gamma dual spaces of the new spaces are determined and some classes of matrix transformations are characterized.