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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Online Access: | http://link.springer.com/article/10.1186/s13660-018-1831-7 |
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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 |
_version_ |
1725372219273510912 |