I-statistical limit points and I-statistical cluster points in probabilistic normed spaces

Samiran Das; Argha Ghosh

doi:10.30755/NSJOM.10082

I-statistical limit points and I-statistical cluster points in probabilistic normed spaces

Samiran Das
, Argha Ghosh^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we introduce the notions of I-statistical limit points and I-statistical cluster points for a sequence in probabilistic normed spaces and study some basic properties of the sets of all I-statistical limit points and I-statistical cluster points of a sequence in probabilistic normed spaces including their interrelationship. Also, using the additive property of I-asymptotic density zero sets, we establish I-statistical analogue of some previous results.

Original language	English
Journal	Novi Sad Journal of Mathematics
Volume	51
Issue number	2
DOIs	https://doi.org/10.30755/NSJOM.10082
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.30755/NSJOM.10082

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title = "I-statistical limit points and I-statistical cluster points in probabilistic normed spaces",

abstract = "In this paper, we introduce the notions of I-statistical limit points and I-statistical cluster points for a sequence in probabilistic normed spaces and study some basic properties of the sets of all I-statistical limit points and I-statistical cluster points of a sequence in probabilistic normed spaces including their interrelationship. Also, using the additive property of I-asymptotic density zero sets, we establish I-statistical analogue of some previous results.",

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year = "2021",

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AB - In this paper, we introduce the notions of I-statistical limit points and I-statistical cluster points for a sequence in probabilistic normed spaces and study some basic properties of the sets of all I-statistical limit points and I-statistical cluster points of a sequence in probabilistic normed spaces including their interrelationship. Also, using the additive property of I-asymptotic density zero sets, we establish I-statistical analogue of some previous results.

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M3 - Article

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JO - Novi Sad Journal of Mathematics

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I-statistical limit points and I-statistical cluster points in probabilistic normed spaces

Abstract

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