Ukrainian Mathematical Journal, cilt.68, sa.9, ss.1437-1446, 2017 (SCI-Expanded)
We introduce a new notion, namely, the notion of Iλ-double statistical convergence of order α in topological groups. Thus, we investigate certain inclusion relations between I-double statistical and Iλ-double statistical convergence of order α in topological groups. We also study many other related concepts.