Domain of generalized difference operator Δi 3 of order three on the hahn sequence space h and matrix transformations

Abstract

In this article, domain of the third order generalized difference operator in Hahn sequence space h is introduced. Some topological properties and inclusion relations are shown. Additionally, Schauder basis of the new Hahn sequence space is calculated and , and dual of the space are computed. In the last section, some new matrix classes , , , , , , , , , are characterized. We conclude the paper with characterization of the classes and where .