The binomial almost convergent and null sequence spaces

In this paper, we introduce the sequence spaces f(Br,s), f0(B) and fs(Br,s) which generalize the Kirişçi’s work [16]. Moreover, we show that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces f , f0 and fs, respectively. Furthermore, we mention the Schauder basis and give β, γ-duals of these spaces. Finally, we determine some matrix classes related to these spaces.