A Note on the Sequence Space b_p^(r,s) (G)

Abstract

In this study, we define the sequence space b p r , s G derived by the composition of the Binomial matrix and generalized difference(double band) matrix and show that the space b p r , s G is linearly isomorphic to the space l p , where 1 ≤ p <∞ . Furthermore, we mention some inclusion relations and give Schauder basis of the space b p r , s G . Moreover, we determine α -, β - and γ -duals of the space b p r , s G . Lastly, we characterize some matrix classes related to the space b p r , s G . MSC: 40C05;40H05;46B45