SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX

In this paper, we construct three new sequence spaces b(0)(r,s) (G), b(c)(r,s)(G) and b(infinity)(r,s) (G) and mention some inclusion relations, where G is generalized difference matrix. Moreover, we give Schauder basis of the spaces b(c)(r,s)(G) and b(c)(r,s)(G). Afterward, we determine alpha-, beta- and gamma-duals of those spaces. Finally, we characterize some matrix classes related to the space b(c)(r,s)(G)