Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences

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...

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Main Authors: Ömer Kişi, Erdinç Dündar
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Journal of Inequalities and Applications
Subjects:
Statistical convergence
I $\mathcal{I}$ -convergence
Rough convergence
Lacunary sequences
Double sequences
Online Access:http://link.springer.com/article/10.1186/s13660-018-1831-7
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spelling doaj-d427d8480448487da746a7f8024beb0c2020-11-25T00:19:16ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-09-012018111610.1186/s13660-018-1831-7Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequencesÖmer Kişi0Erdinç Dündar1Department of Mathematics, Faculty of Science, Bartın UniversityDepartment of Mathematics, Faculty of Science, Afyon Kocatepe UniversityAbstract 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.http://link.springer.com/article/10.1186/s13660-018-1831-7Statistical convergenceI $\mathcal{I}$ -convergenceRough convergenceLacunary sequencesDouble sequences
collection DOAJ
language English
format Article
sources DOAJ
author Ömer Kişi
Erdinç Dündar
spellingShingle Ömer Kişi
Erdinç Dündar
Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences
Journal of Inequalities and Applications
Statistical convergence
I $\mathcal{I}$ -convergence
Rough convergence
Lacunary sequences
Double sequences
author_facet Ömer Kişi
Erdinç Dündar
author_sort Ömer Kişi
title Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences
title_short Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences
title_full Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences
title_fullStr Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences
title_full_unstemmed Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences
title_sort rough i2 ${i}_{2}$-lacunary statistical convergence of double sequences
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2018-09-01
description 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.
topic Statistical convergence
I $\mathcal{I}$ -convergence
Rough convergence
Lacunary sequences
Double sequences
url http://link.springer.com/article/10.1186/s13660-018-1831-7
work_keys_str_mv AT omerkisi roughi2i2lacunarystatisticalconvergenceofdoublesequences
AT erdincdundar roughi2i2lacunarystatisticalconvergenceofdoublesequences
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