Iλ-statistically convergent sequences in topological groups

Abstract

Let 2^N be the family of all subsets of N. Using an ideal I ⊂ 2^N, Savaş and Das in 2011 defined I_λ-statistical convergence of real sequences as a generalization of λ-statistical convergence introduced in 2000 by Mursaleen. In this paper we define I_λ-statistical convergence for sequences in topological groups and present some inclusion theorems.