I-statistical limit points and I-statistical cluster points
Abstract In this paper we have extended the notion of statistical limit point as introduced by Fridy to I-statistical limit point of sequences of real numbers and studied some basic properties of the set of all Istatistical limit points and I-statistical cluster points of real sequences including th...
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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oai:scielo:S0716-091720190005010112020-01-07I-statistical limit points and I-statistical cluster pointsMalik,PrasantaGhosh,ArghaDas,Samiran I-statistical convergence I-statistical limit point I-statistical cluster point I-asymptotic density I- statistical boundedness Abstract In this paper we have extended the notion of statistical limit point as introduced by Fridy to I-statistical limit point of sequences of real numbers and studied some basic properties of the set of all Istatistical limit points and I-statistical cluster points of real sequences including their interrelationship. Also introducing additive property of I-asymptotic density zero sets we establish I-statistical analogue of some completeness theorems of R .info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.5 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501011en10.22199/issn.0717-6279-2019-05-0065 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
I-statistical convergence I-statistical limit point I-statistical cluster point I-asymptotic density I- statistical boundedness |
spellingShingle |
I-statistical convergence I-statistical limit point I-statistical cluster point I-asymptotic density I- statistical boundedness Malik,Prasanta Ghosh,Argha Das,Samiran I-statistical limit points and I-statistical cluster points |
description |
Abstract In this paper we have extended the notion of statistical limit point as introduced by Fridy to I-statistical limit point of sequences of real numbers and studied some basic properties of the set of all Istatistical limit points and I-statistical cluster points of real sequences including their interrelationship. Also introducing additive property of I-asymptotic density zero sets we establish I-statistical analogue of some completeness theorems of R . |
author |
Malik,Prasanta Ghosh,Argha Das,Samiran |
author_facet |
Malik,Prasanta Ghosh,Argha Das,Samiran |
author_sort |
Malik,Prasanta |
title |
I-statistical limit points and I-statistical cluster points |
title_short |
I-statistical limit points and I-statistical cluster points |
title_full |
I-statistical limit points and I-statistical cluster points |
title_fullStr |
I-statistical limit points and I-statistical cluster points |
title_full_unstemmed |
I-statistical limit points and I-statistical cluster points |
title_sort |
i-statistical limit points and i-statistical cluster points |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2019 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501011 |
work_keys_str_mv |
AT malikprasanta istatisticallimitpointsandistatisticalclusterpoints AT ghoshargha istatisticallimitpointsandistatisticalclusterpoints AT dassamiran istatisticallimitpointsandistatisticalclusterpoints |
_version_ |
1718439860862189568 |