On lacunary statistical convergence of sequences in gradual normed linear spaces

Choudhury, Chiranjib; Debnath, Shyamal

doi:10.52846/ami.v49i1.1518

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ö Kişi C Choudhury1

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2022

2024

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Cited by 6 publications

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“…They studied various properties from both the algebraic and topological points of view. Further development in this direction has been taken place due to Ettefagh et al [20,21], Choudhury and Debnath [13,14], and many others. For an extensive study on gradual real numbers, one may refer to [1,18,28,36].…”

Section: ö Kişi C Choudhurymentioning

confidence: 99%

CERTAIN ASPECTS OF Xrst(G)-CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES

Kiși,

Choudhury

2023

AnnalsARSciMath

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In the present article, we set forth with the new notion of rough A—statistical convergence in the gradual normed linear spaces. We produce significant results that present several fundamental properties of this notion. We also introduce the notion of Arst(G)—limit set and prove that it is convex, gradually closed, and plays an important role for the gradually A—statistical boundedness of a sequence.

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