Rough statistical convergence of sequences in gradual normed linear spaces

Kı̇şı̇, Ömer; Choudhury, Chiranjib

doi:10.1007/s41478-022-00541-8

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2024

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“…Malik and Maity [23,24] has defined rough convergence and rough statistical convergence of double sequences in normed linear spaces. After that, the research work on this concept is still being carried out in different directions by Antal et al [4], Ghosal and Banerjee [13], Hossain and Banerjee [14], Kişi and Ünal [18], Özcan and Or [26] and references cited therein.…”

Section: Introductionmentioning

confidence: 99%

Rough Statistical Convergence of Double Sequences in Probabilistic Normed Spaces

Mondal,

Hossain

2024

Comm. Math. Appl.

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In this paper, we have defined rough convergence and rough statistical convergence of double sequences in probabilistic normed spaces which is more generalized version than the rough statistical convergence of double sequences in normed linear spaces. Also, we have defined rough statistical cluster points of double sequences and then, investigated some important results associated with the set of rough statistical limits of double sequences in these spaces. Moreover, in the same spaces, we have proved an important relation between the set of all rough statistical cluster points and rough statistical limits under certain condition.

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