Tauberian Conditions with Controlled Oscillatory Behavior for Statistical Convergence

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dc.contributor.authorSezer, Sefa Anil
dc.contributor.authorSavas, Rahmet
dc.contributor.authorCanak, Ibrahim
dc.date.accessioned2019-10-27T10:43:50Z
dc.date.available2019-10-27T10:43:50Z
dc.date.issued2018
dc.departmentEge Üniversitesien_US
dc.description.abstractWe present new Tauberian conditions in terms of the general logarithmic control modulo of the oscillatory behavior of a real sequence (s(n)) to obtain lim(n ->infinity) s(n) = xi from st - lim(n ->infinity) s(n = xi,) where xi is a finite number. We also introduce the statistical (l, m) summability method and extend some Tauberian theorems to this method. The main results improve some well-known Tauberian theorems obtained for the statistical convergence.en_US
dc.description.sponsorshipResearch Fund of the Istanbul Medeniyet UniversityIstanbul Medeniyet University [F-GAP-2017-995]en_US
dc.description.sponsorshipThis work was supported by Research Fund of the Istanbul Medeniyet University. Project Number: F-GAP-2017-995en_US
dc.identifier.doi10.2298/FIL1811853S
dc.identifier.endpage3865en_US
dc.identifier.issn0354-5180
dc.identifier.issn0354-5180en_US
dc.identifier.issue11en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage3853en_US
dc.identifier.urihttps://doi.org/10.2298/FIL1811853S
dc.identifier.urihttps://hdl.handle.net/11454/30854
dc.identifier.volume32en_US
dc.identifier.wosWOS:000461181900009en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTauberian theoremsen_US
dc.subjectstatistical convergenceen_US
dc.subjectlogarithmic summability methoden_US
dc.subjectone-sided Tauberian conditionsen_US
dc.subjectslowly decreasing sequenceen_US
dc.titleTauberian Conditions with Controlled Oscillatory Behavior for Statistical Convergenceen_US
dc.typeArticleen_US

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