Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences
Abstract 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 prope...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-09-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-018-1831-7 |
Summary: | Abstract 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. |
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ISSN: | 1029-242X |