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Weighted statistical rough convergence in normed spaces

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Titel: Weighted statistical rough convergence in normed spaces
Autoren: Bayram, Erdal, Aydin, Abdullah, Kucukaslan, Mehmet
Verlagsinformationen: Maejo Univ, 2024.
Publikationsjahr: 2024
Schlagwörter: g-weight density, statistical rough convergence, limit points, normed spaces
Beschreibung: 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.
Publikationsart: Article
Sprache: English
Zugangs-URL: https://hdl.handle.net/20.500.12639/6730
Dokumentencode: edsair.od......9656..8b7e6a8a9c5d10cd91a54110f0fa7958
Datenbank: OpenAIRE
Beschreibung
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.