On some binomial B ( m ) $B^{(m)}$ -difference sequence spaces
On some binomial B ( m ) $B^{(m)}$ -difference sequence spaces
In this paper, we introduce the binomial sequence spaces $b^{a,b}_{0}(B^{(m)})$ , $b^{a,b}_{c}(B^{(m)})$ and $b^{a,b}_{\infty}(B^{(m)})$ by combining the binomial transformation and difference operator. We prove the BK-property and some inclusion relations. Furthermore, we obtain Schauder bases and compute the α-, β- and γ-duals of these sequence spaces. Finally, we characterize matrix …