Lacunary invariant statistical equivalence for double set sequences

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:71 Issue:1
Lacunary invariant statistical equivalence for double set sequences

Lacunary invariant statistical equivalence for double set sequences

Authors : Uğur ULUSU, Erdinç DÜNDAR, Nimet PANCAROĞLU AKIN

Pages : 1-12

Doi:10.31801/cfsuasmas.903988

View : 18 | Download : 8

Publication Date : 2022-03-30

Article Type : Research Paper

Abstract :In this paper, we introduce the notions of asymptotical strong σ 2 σ2 -equivalence, asymptotical σ 2 σ2 -statistical equivalence, asymptotical lacunary strong σ 2 σ2 -equivalence and asymptotical lacunary σ 2 σ2 -statistical equivalence in the Wijsman sense for double set sequences. Also, we investigate some relations between these new asymptotical equivalence notions.
Keywords : Asymptotical equivalence, double lacunary sequence, invariant mean, statistical convergence, convergence in the Wijsman sense

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