On the Matrix Domain in the Sequence u

Author : Orhan Tuğ

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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Eurasian Journal of Science & Engineering
ISSN 2414-5629 (Print), ISSN 2414-5602 (Online)