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

ABSTRACT The 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.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-04-24
DOI
https://doi.org/10.1002/mma.11011
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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0.00
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Rough Lacunary Ideal Statistical Convergence of Double Sequences on Random n‐Normed Spaces

Jasgurpreet Singh Chohan, Rachit Manchanda, Reena Antal, R. P. Thakur et al.
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Mathematical Methods in the Applied Sciences
Approximation Theory and Sequence Spaces
article

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

Jasgurpreet Singh Chohan, Rachit Manchanda, Reena Antal, R. P. Thakur, Nilesh Bhosle, R. Manjunatha, P. Mallikarjuna Rao, Mohamed Yusuf, Umesh Bhardwaj
article en

Abstract

ABSTRACT The 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.

Mathematical Methods in the Applied SciencesVol. 48(12)
Chandigarh University (IN), Jain University (IN), Njala University (SL), NIMS University (IN), Rayat Bahra University (IN), Sohar University (OM), Chitkara University (IN), Punjab Engineering College (IN)
Openalex Percentile: Top 91%
Approximation Theory and Sequence Spaces
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