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Let I 2 ⊆ P(N × N) be a nontrivial ideal. We provide a new approach to the concept of I 2 -double lacunary statistical convergence and I 2 -lacunary strongly double summable by taking f (τ, υ), which is a multidimensional measurable real valued function on (1, ∞) × (1, ∞). Additionally, we examine the relation between these two new methods. 2010 Mathematics Subject Classification: 40G15; 40H05.doi:10.2298/pim2021093s fatcat:dr3hgdl25zbnffrhatp6yt4df4