Weighted statistical rough convergence in normed spaces
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Maejo Univ
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
Statistical convergence is a significant generalisation of the traditional convergence of real or complex valued sequences. Over the years, it has been studied by many authors and found many applications in various problems. In this paper we introduce a new concept about statistical rough convergence for sequences in normed spaces by using weighted density, which is a generalisation of the natural density. We investigate the fundamental properties of g-statistical rough convergence and statistical rough limit points including closeness, convexity and boundedness. We also establish a relationship between statistical rough limit points and g-statistical boundedness. The obtained results provide a new framework for studying statistical rough convergence.
Description
Keywords
statistical rough convergence, g-weight density, limit points, normed spaces
Journal or Series
Maejo International Journal of Science and Technology
WoS Q Value
N/A
Scopus Q Value
Volume
18
Issue
2
