On a Generalized Difference Sequence Space

Abstract

In this work using the generalized difference operator Delta(n)(m), we generalize the sequence space m(phi) to sequence space m(phi, p, beta) (Delta(n)(m)), give some topological properties about this space and show that the space m(phi, p, beta) (Delta(n)(m)) is a BK - space by a suitable norm: The results obtained generalizes some known results.