Rough statistical convergence of sequences in gradual normed linear spaces

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dc.contributor.authorKisi, Oemer
dc.contributor.authorChoudhury, Chiranjib
dc.date.accessioned2025-10-18T13:25:03Z
dc.date.created2022
dc.date.issued2022
dc.departmentFakülteler, Fen Fakültesi, Matematik Bölümü
dc.description.abstractIn the present article, we set forth with the new notion of rough statistical convergence in the gradual normed linear spaces (GNLS). We produce significant results that present several fundamental properties of this notion. We also introduce the st(r)(G)-limit set and prove that it is convex, gradually closed, and plays an important role for the gradually statistical boundedness of a sequence.
dc.description.sponsorshipUniversity Grants Commission, India; [16-6(DEC. 2018)/2019(NET/CSIR)]
dc.description.sponsorshipThe authors thank the anonymous referees for their constructive suggestions to improve the quality of the paper. The second author is grateful to the University Grants Commission, India for their fellowships funding under the UGC-SRF scheme (F.No.16-6(DEC. 2018)/2019(NET/CSIR)) during the preparation of this paper.
dc.identifier.doi10.1007/s41478-022-00541-8
dc.identifier.endpage1525
dc.identifier.issn0971-3611
dc.identifier.issn2367-2501
dc.identifier.issue2
dc.identifier.startpage1511
dc.identifier.urihttps://doi.org/10.1007/s41478-022-00541-8
dc.identifier.urihttps://hdl.handle.net/11772/23257
dc.identifier.volume31
dc.identifier.wosWOS:000899410800001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSpringernature
dc.relation.ispartofJournal of Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzWoS_20251016
dc.subjectGradual Number
dc.subjectGradual Normed Linear Space
dc.subjectNatural Density
dc.subjectRough Statistical Convergence
dc.subjectSt(R)(G)-Limit Set
dc.titleRough statistical convergence of sequences in gradual normed linear spaces
dc.typeArticle
dspace.entity.typePublication

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