On Gradual Borel Summability Method of Rough Convergence of Triple Sequences of Beta Stancu Operators

We define the concept of rough limit set of a triple sequence space of beta Stancu operators of Borel summability of gradual real numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of beta Stancu operators of Borel summability metho...

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Bibliographic Details
Main Authors: Arulmani İndumathi, Ayhan Esi, Nagarajan Subramanian
Format: Article
Language:English
Published: Dera Natung Government College 2023-12-01
Series:Dera Natung Government College Research Journal
Subjects:
Online Access:https://dngc.ac.in/journals/index.php/dngcrj/article/view/168
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Summary:We define the concept of rough limit set of a triple sequence space of beta Stancu operators of Borel summability of gradual real numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of beta Stancu operators of Borel summability method of gradual real numbers. Finally, we investigate some properties of the rough limit set of beta Stancu operators under which Borel summable sequence of gradual real numbers are convergent. Also, we give the results for Borel summability method of series of gradual real numbers.
ISSN:2456-8228
2583-5483