$\mathcal{I}_{2}$-Asymptotically Lacunary Statistical Equivalence of Weight $g$ of Double Sequences of Sets
DOI:
https://doi.org/10.5644/SJM.15.01.06Keywords:
Asymptotic equivalence, Sequences of sets, I2-convergenceAbstract
In this paper, our aim is to introduce new notions, namely, Wijsman asymptotically $\mathcal{I}_{2}$-statistical equivalence of weight $g$, Wijsman strongly asymptotically $\mathcal{I}_{2}$-lacunary equivalence of weight $g$ and Wijsman asymptotically $\mathcal{I}_{2}$-lacunary statistical equivalence of weight $g$ of double set sequences. We mainly investigate their relationship and also make some observations about these classes.
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