Lacunary invariant statistical equivalence for double set sequences
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Date
2022
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Ankara Üniversitesi
Abstract
In this paper, we introduce the notions of asymptotical strong σ2-equivalence, asymptotical σ2-statistical equivalence, asymptotical lacunary strong σ2-equivalence and asymptotical lacunary σ2-statistical equivalence in the Wijsman sense for double set sequences. Also, we investigate some relations between these new asymptotical equivalence notions.
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Keywords
Asymptotical equivalence, double lacunary sequence, invariant mean, statistical convergence, convergence in the Wijsman sense