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Journal of Inequalities and Applications

, 2014:480

Proceedings of the International Congress in Honour of Professor Ravi P. Agarwal

Abstract

Recently, Patterson and Savaş Math. Commun. 10:55-61, 2005, defined the lacunary statistical analog for double sequences x = x k , l as follows: A real double sequences x = x k , l is said to be P-lacunary statistically convergent to L provided that for each ε > 0 , P - lim r , s 1 h r , s | { k , l ∈ I r , s : | x k , l − L | ≥ ε } | = 0 . In this case write st θ 2 - lim x = L or x k , l → L st θ 2 .

In this paper we introduce and study lacunary statistical convergence for double sequences in topological groups and we shall also present some inclusion theorems.

MSC: 42B15, 40C05.

Keywordsdouble lacunary double lacunary statistical convergence topological groups  Download fulltext PDF



Author: Ekrem Savaş

Source: https://link.springer.com/







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