Statistical Convergence of Δ-Spaces Using Fractional Order

Abstract

The notion of fractional structures has been studied intensely in various fields. Using this concept, the main idea of this paper is to apply the Cesàro approach and introduce the new generalized Δ-structure of spaces on a fractional level. Also, the statistical notions will be studied using this new structure and some inclusion relations will be computed. In addition, the sequence space Wq(Δgκ,f) will be introduced, and some fundamental inclusion relations and topological properties concerning it will be given.