On the Difference Sequence Space `p(Tˆq)

In this study, we introduce a new matrix Tˆq = (tˆqnk) bytˆqnk =???qnQntn , k = nqkQntk ?qk+1Qn1tk+1, k n.where tk > 0 for all n ? N and (tn) ? c\c0. By using the matrix Tˆq, we introduce the sequence space`p(Tˆq) for 1 ? p ? ?. In addition, we give some theorems on inclusion relations associated with `p(Tˆq)and find the ?-, ?-, ?- duals of this space. Lastly, we analyze the necessary and sufficient conditions foran infinite matrix to be in the classes (`p(Tˆq), ?) or (?, `p(Tˆq)), where ? ? {`1, c0, c, `?}