In this paper, we introduce the binomial sequence spaces br 0,s(∇(m)), br c,s(∇(m)) and
br,s
∞(∇(m)) by combining the binomial transformation and mth order difference
operator. We prove the BK-property and some inclusion relations. Also, we obtain the
Schauder bases and compute the α-, β- and γ -duals of these sequence spaces.

• Binomial difference sequence spaces of order m