A Study on Strongly Almost Convergent and Strongly Almost Null Binomial Double Sequence Spaces

Abstract

The 4 dimensional (4d) binomial matrix and its domains on the classical double sequence spaces $mathcal{L}_{p}$, $mathcal{M}_{u}$, $mathcal{C}_{P}$, $mathcal{C}_{bP}$, $mathcal{C}_{r}$, $mathcal{C}_{f}$ and $mathcal{C}_{f_0}$ have been described and examined by Demiriz and Erdem in the papers cite{e.d.2}-cite{e.d.3}. In this article, we describe two double sequence spaces with the aid of the aforementioned matrix and study some properties of these. After giving inclusion relations, we compute $alpha-$, $beta(bp)-$ and $gamma-$duals and give some new matrix classes related them.