Rough statistical convergence on triple sequences

Abstract: In this paper, using the concept of natural density, we introduce the notion of rough statistical convergence of triple sequences. We define the set of rough statistical limit points of a triple sequence and obtain rough statistical convergence criteria associated with this set. Later, we...

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Autores principales: Debnath,Shyamal, Subramanian,N.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2017
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400685
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spelling oai:scielo:S0716-091720170004006852018-01-08Rough statistical convergence on triple sequencesDebnath,ShyamalSubramanian,N. Rough statistical convergence Natural density triple sequences chi sequence. Abstract: In this paper, using the concept of natural density, we introduce the notion of rough statistical convergence of triple sequences. We define the set of rough statistical limit points of a triple sequence and obtain rough statistical convergence criteria associated with this set. Later, we prove this set is closed and convex and also examine the relations between the set of rough statistical cluster points and the set of rough statistical limit points of a triple sequence.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.4 20172017-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400685en10.4067/S0716-09172017000400685
institution Scielo Chile
collection Scielo Chile
language English
topic Rough statistical convergence
Natural density
triple sequences
chi sequence.
spellingShingle Rough statistical convergence
Natural density
triple sequences
chi sequence.
Debnath,Shyamal
Subramanian,N.
Rough statistical convergence on triple sequences
description Abstract: In this paper, using the concept of natural density, we introduce the notion of rough statistical convergence of triple sequences. We define the set of rough statistical limit points of a triple sequence and obtain rough statistical convergence criteria associated with this set. Later, we prove this set is closed and convex and also examine the relations between the set of rough statistical cluster points and the set of rough statistical limit points of a triple sequence.
author Debnath,Shyamal
Subramanian,N.
author_facet Debnath,Shyamal
Subramanian,N.
author_sort Debnath,Shyamal
title Rough statistical convergence on triple sequences
title_short Rough statistical convergence on triple sequences
title_full Rough statistical convergence on triple sequences
title_fullStr Rough statistical convergence on triple sequences
title_full_unstemmed Rough statistical convergence on triple sequences
title_sort rough statistical convergence on triple sequences
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2017
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400685
work_keys_str_mv AT debnathshyamal roughstatisticalconvergenceontriplesequences
AT subramaniann roughstatisticalconvergenceontriplesequences
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