On Some New Generalized Difference Sequence Spaces of Nonabsolute Type

We define a new triangle matrix W = (w(nk)(lambda)) by the composition of the matrices Lambda = (lambda(nk)) and B (r, s, t). Also, we introduce the sequence spaces c(0)(lambda)(B), c(lambda)(B), l(infinity)(lambda)(B), and l(p)(lambda)(B) by using matrix domain of thematrix W on the classical sequence spaces c(0), c, l(infinity), and l(p), respectively, where 1 <= p < infinity. Moreover, we show that the space mu(lambda)(B) is norm isomorphic to mu for mu(lambda) is an element of{c(0), c, l(infinity), l(p)}. Furthermore, we establish some inclusion relations concerning those spaces and determine alpha-, beta-, and gamma-duals of those spaces and construct the Schauder bases c(0)(lambda)(B), c(lambda)(B), and l(p)(lambda) (B). Finally, we characterize the classes (mu(lambda)(1)(B) : mu(2)) of infinite matrices where mu(1) is an element of{c, c(0), l(p) } and mu(2) is an element of{l(infinity), c, c(0), l(p)}.