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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Autores principales: Malik,Prasanta, Ghosh,Argha, Das,Samiran
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501011
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spelling 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
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