SOME REMARKS ON ROUGH STATISTICAL \(\Lambda\)-CONVERGENCE OF ORDER \(\alpha\)

Reena Antal     (Department of Mathematics, Chandigarh University, NH-95, Chandigarh-Ludhiana Highway, Mohali, Punjab 140413, India)
Meenakshi Chawla     (Department of Mathematics, Chandigarh University, NH-95, Chandigarh-Ludhiana Highway, Mohali, Punjab 140413, India)
Vijay Kumar     (Department of Mathematics, Panipat Institute of Engineering and Technology, 70, Milestone GT Road, Samalkha, Panipat, 132102 Haryana, India)

Abstract


The main purpose of this work is to define Rough Statistical \(\Lambda\)-Convergence of order \(\alpha\) \((0<\alpha\leq1)\) in normed linear spaces. We have proved some basic properties and also provided some examples to show that this method of convergence is more generalized than the rough statistical convergence. Further, we have shown the results related to statistically \(\Lambda\)-bounded sets of order \(\alpha\) and sets of rough statistically \(\Lambda\)-convergent sequences of order \(\alpha\).

Keywords


Statistical convergence, Rough statistical convergence, Rough statistical limit points

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References


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DOI: http://dx.doi.org/10.15826/umj.2021.1.002

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