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Mathematical Methods in the Applied Sciences
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Rough Lacunary Ideal Statistical Convergence of Double Sequences on Random n‐Normed Spaces

Rough lacunary ideal statistical convergence of double sequences on random \(n\)-normed spaces
Authors: Reena Antal; Rachit Manchanda; Manjunatha R.; Nilesh Bhosle; Jasgurpreet Singh Chohan; P. Mallikarjuna Rao; Umesh Bhardwaj; +2 Authors

Rough Lacunary Ideal Statistical Convergence of Double Sequences on Random n‐Normed Spaces

Abstract

ABSTRACTThe article explains and analyzes the conception of rough lacunary ideal statistical convergence on random ‐normed spaces for double sequences. The geometrical and topological results of rough lacunary ideal statistical limit points, rough lacunary ideal cluster points, and rough lacunary ideal boundedness are considered on these spaces. Through an exploration of properties associated with rough lacunary ideal convergence, equivalent conditions establish for set of lacunary ideal statistical limit points in the context of rough lacunary ideal statistically convergent double sequences.

Keywords

rough statistical convergence, Functional analysis in probabilistic metric linear spaces, ideal statistical convergence, Convergence and divergence of series and sequences, lacunary sequence, Ideal and statistical convergence, random \(n\)-normed space

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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!
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