**Author** : Orhan Tuğ^{1}

^{1}Mathematics Education Department, Ishik University, Erbil-IRAQ

**Abstract: ** In this paper, I introduce a new sequence space as _{u} the domain of four dimensional generalized difference matrix and as a generalization of the series space . I give some topological properties with some inclusion relations. Moreover, I calculate beta(_{u})- and gamma- duals of the new sequence space . In the last section I characterize some matrix classes and I conclude B (_{u}) the paper with some important results.

**Keywords: ** Generalized Difference Matrix, Matrix Domain, Matrix Transformations, Dual of Sequence Spaces

**doi**: 10.23918/eajse.v3i1sip204

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