Some further results on ideal summability of nets in (Formula Presented.) groups

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dc.contributor.authorDas, Pratulananda
dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2020-11-21T15:53:59Z
dc.date.available2020-11-21T15:53:59Z
dc.date.issued2015en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractIn this paper we continue in the line of recent investigation of order summability of nets using ideals by Boccuto et al. (Czechoslovak Math. J. 62(137):1073–1083 2012; J. Appl. Anal. 20(1), 2014) where they had introduced the notions of I and (Formula Presented.) order convergence, I and (Formula Presented.) divergence of nets and its further extensions, namely the notions of (Formula Presented.)-order convergence and (Formula Presented.)-divergence of nets in a (Formula Presented.)-group and investigate the relation between (Formula Presented.)-concepts where a special class of ideals called (Formula Presented.)-ideals plays very important role. We also introduce, for the first time, the notion of (Formula Presented.)-order Cauchy condition and (Formula Presented.)-order cluster points of nets in ((Formula Presented.)) groups and examine some of its characterizations and its consequences. In particular the role of (Formula Presented.)-order cluster points in making the above mentioned Cauchy nets convergent is studied. © 2014, Springer Basel.en_US
dc.identifier.doi10.1007/s11117-014-0282-8en_US
dc.identifier.endpage63en_US
dc.identifier.issn1385-1292
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84895084950en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage53en_US
dc.identifier.urihttps://doi.org/10.1007/s11117-014-0282-8
dc.identifier.urihttps://hdl.handle.net/11467/3732
dc.identifier.volume19en_US
dc.identifier.wosWOS:000351693900004en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherBirkhauser Verlag AGen_US
dc.relation.ispartofPositivityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(?)-groupen_US
dc.subjectFilteren_US
dc.subjectI-divergenceen_US
dc.subjectI-order-cluster pointen_US
dc.subjectI-order-convergence/Cauchy conditionen_US
dc.subjectIK-divergenceen_US
dc.subjectIK-order-convergence/Cauchy conditionen_US
dc.subjectIdealen_US
dc.subjectNeten_US
dc.titleSome further results on ideal summability of nets in (Formula Presented.) groupsen_US
dc.typeArticleen_US

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