f_{λ}-Statistical Convergence In Topological Groups

Abstract

In this paper, the concept of f_{λ}-statistical convergence is generalized to topological groups with the help of an unbounded modulus function. Furthermore, the relationship between the notions of f-statistically convergent and f_{λ}-statistically convergent is investigated and some related inclusion results are proved in topological groups using properties of the modulus function. Additionally, this relationship was given in different modulus functions.