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

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 sta...

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Bibliographic Details
Published in:	Ural mathematical journal Vol. 7; no. 1; p. 16
Main Authors:	Antal, Reena, Chawla, Meenakshi, Kumar, Vijay
Format:	Journal Article
Language:	English
Published:	Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 30.07.2021
Subjects:	statistical convergence, rough statistical convergence, rough statistical limit points
ISSN:	2414-3952, 2414-3952
Online Access:	Get full text
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Summary:	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 \(\alpha\).
ISSN:	2414-3952 2414-3952
DOI:	10.15826/umj.2021.1.002