Weighted statistical rough convergence in normed spaces

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dc.contributor.authorBayram, Erdal
dc.contributor.authorAydin, Abdullah
dc.contributor.authorKucukaslan, Mehmet
dc.date.accessioned2024-10-29T17:43:53Z
dc.date.available2024-10-29T17:43:53Z
dc.date.issued2024
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractStatistical 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. © 2024 by Maejo University, San Sai, Chiang Mai, 50290 Thailand.
dc.identifier.endpage192
dc.identifier.issn1905-7873
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85200336385
dc.identifier.scopusqualityQ3
dc.identifier.startpage178
dc.identifier.urihttps://hdl.handle.net/20.500.11776/12676
dc.identifier.volume18
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMaejo University
dc.relation.ispartofMaejo International Journal of Science and Technology
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectg-weight density
dc.subjectlimit points
dc.subjectnormed spaces
dc.subjectstatistical rough convergence
dc.titleWeighted statistical rough convergence in normed spaces
dc.typeArticle

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