Rough I 2 ${I}_{2}$ -lacunary statistical convergence of double sequences

In this paper, we introduce and study the notion of rough I2\(\mathcal {I}_{2}\)-lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough I2\(\mathcal{I}_{2}\)-lacunary statistical limit set of a double sequence and discuss some properties o...

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Bibliographic Details
Published in:Journal of inequalities and applications 2018-09, Vol.2018 (1), p.1-16, Article 230
Main Authors: Kişi, Ömer, Dündar, Erdinç
Format: Article
Language:English
Subjects:
Convergence
Mathematics
Vector spaces
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Summary:In this paper, we introduce and study the notion of rough I2\(\mathcal {I}_{2}\)-lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough I2\(\mathcal{I}_{2}\)-lacunary statistical limit set of a double sequence and discuss some properties of this set.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-018-1831-7