On statistical convergence in topological groups. (English) Zbl 0876.40002

Summary: The concept of statistical convergence is studied in topological groups, and some theorems giving necessary and sufficient conditions for limitation methods to be statistically \(h\)-regular are proved.


40A99 Convergence and divergence of infinite limiting processes
40C15 Function-theoretic methods (including power series methods and semicontinuous methods) for summability
22A10 Analysis on general topological groups