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)
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