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Rough [Formula: see text] -lacunary statistical convergence of double sequences

In this paper, we introduce and study the notion of rough [Formula: see text] -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough [Formula: see text] -lacunary statistical limit set of a double sequence and discuss some properties of t...

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Detalles Bibliográficos
Autores principales: Kişi, Ömer, Dündar, Erdinç
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6132385/
https://www.ncbi.nlm.nih.gov/pubmed/30839673
http://dx.doi.org/10.1186/s13660-018-1831-7
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author Kişi, Ömer
Dündar, Erdinç
author_facet Kişi, Ömer
Dündar, Erdinç
author_sort Kişi, Ömer
collection PubMed
description In this paper, we introduce and study the notion of rough [Formula: see text] -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough [Formula: see text] -lacunary statistical limit set of a double sequence and discuss some properties of this set.
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spelling pubmed-61323852018-09-14 Rough [Formula: see text] -lacunary statistical convergence of double sequences Kişi, Ömer Dündar, Erdinç J Inequal Appl Research In this paper, we introduce and study the notion of rough [Formula: see text] -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough [Formula: see text] -lacunary statistical limit set of a double sequence and discuss some properties of this set. Springer International Publishing 2018-09-10 2018 /pmc/articles/PMC6132385/ /pubmed/30839673 http://dx.doi.org/10.1186/s13660-018-1831-7 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Kişi, Ömer
Dündar, Erdinç
Rough [Formula: see text] -lacunary statistical convergence of double sequences
title Rough [Formula: see text] -lacunary statistical convergence of double sequences
title_full Rough [Formula: see text] -lacunary statistical convergence of double sequences
title_fullStr Rough [Formula: see text] -lacunary statistical convergence of double sequences
title_full_unstemmed Rough [Formula: see text] -lacunary statistical convergence of double sequences
title_short Rough [Formula: see text] -lacunary statistical convergence of double sequences
title_sort rough [formula: see text] -lacunary statistical convergence of double sequences
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6132385/
https://www.ncbi.nlm.nih.gov/pubmed/30839673
http://dx.doi.org/10.1186/s13660-018-1831-7
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