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Article . 2024 . Peer-reviewed
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New results in gradual normed linear spaces in light of generalized statistical convergence via ideal

Authors: Savas, Ekrem; Kişi, Ömer; Choudhury, Chiranjib;

New results in gradual normed linear spaces in light of generalized statistical convergence via ideal

Abstract

This article introduces the novel concept of rough I-statistical convergence of order ? in gradual normed linear spaces (GNLS). The paper presents noteworthy findings utilizing the Ir,? st (G)-limit set, which exhibits several fundamental properties of the concept. Moreover, a necessary and sufficient condition for Ir,? st(G)-convergence of a sequence in a GNLS is established.

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Keywords

I-St (R ,Alpha )(G) - Limit Set, Gradual Number, Rough Convergence, Gradual Normed Linear Space, I- Statistical Convergence

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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