摘要：In this paper, we introduce the binomial sequence spaces b 0 r , s ( ∇ ( m ) ) $b^{r,s}_((\nabla^{(m)})$ , b c r , s ( ∇ ( m ) ) $b^{r,s}_{c}(\nabla^{(m)})$ and b ∞ r , s ( ∇ ( m ) ) $b^{r,s}_{\infty}(\nabla^{(m)})$ 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.
关键词：sequence space ; matrix domain ; Schauder basis ; α -, β - and γ -duals
