Rough I2-lacunary statistical convergence of double sequences

In this paper, we introduce and study the notion of rough I 2 -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough I 2 -lacunary statistical limit set of a double sequence and discuss some properties of this set.

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