On the Domain of Nörlund Matrix in the Space of Bounded Variation Sequences

Author :Orhan Tug1
1Mathematics Education Department, Ishik University, Erbil, Iraq

Abstract:  In this paper, we introduce a new sequence space bv(Nt) as the domain of Nörlund matrix Nt in the space of all sequences of bounded variation. Firstly, we give some topological properties and inclusion relations. Moreover, we determine the  α-, β- and γ- duals of the space bv(Nt) . Finally, we characterize some new matrix classes over the space bv(Nt)  into some classical sequence space and vice versa.

Keywords:  Bounded Variation, Nörlund Mean, Sequence Spaces, Matrix Domain, Matrix Transformation, 2010 Mathematics Subject Classification. 46A45, 40C05.

doi: 10.23918/eajse.v3i2p111

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