I-statistical convergence in probabilistic normed spaces
I-statistical convergence in probabilistic normed spaces
In this paper, we introduce a new type of summability notion, namely, I - statistical convergence and I -lacunary statistical convergence for double sequences in probabilistic normed space, which is a natural generalization of the notion of natural density, statistical convergence and lacunary statistical convergence using the notion of ideals of the set of positive integers N. In this context, we investigate their relationship, and make some observations about these classes using the tools of probabilistic normed space.
- Istanbul Commerce University Turkey
T -norm, I-lacunary statistical convergence, Probabilistic normed space, I-statistical convergence, Ideal, Double sequence
T -norm, I-lacunary statistical convergence, Probabilistic normed space, I-statistical convergence, Ideal, Double sequence
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