Abstract
We introduce a new notion, namely, the notion of $$ \mathrm{\mathcal{I}} $$ λ-double statistical convergence of order α in topological groups. Thus, we investigate certain inclusion relations between $$ \mathrm{\mathcal{I}} $$ -double statistical and $$ \mathrm{\mathcal{I}} $$ λ –double statistical convergence of order α in topological groups. We also study many other related concepts.
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