Some tauberian conditions for the weighted mean method of summability

dc.contributor.authorTotur Ü.
dc.contributor.authorÇanak İ.
dc.date.accessioned2019-10-27T08:04:40Z
dc.date.available2019-10-27T08:04:40Z
dc.date.issued2017
dc.departmentEge Üniversitesien_US
dc.description.abstractLet p = (pn) be a sequence of nonnegative numbers and Pn:= ?n k=0 pk › ? as n › ?. Let the weighted general control modulo of the oscillatory behavior of integer order m ? 1 of a sequence (un) be denoted by (?n,p (m) (u)). We prove that if the weighted generator sequence of a sequence u = (un) of real numbers is summable to a finite number by the weighted mean method, (?(1) n,p(?(m-1) (u))) is increasing, the conditions (Formula presented) are satisfied, and certain conditions on (pn) are hold, then (un) is slowly oscillating. © 2018, Universitatii Al.I.Cuza din Iasi. All rights reserved.en_US
dc.identifier.doi10.1016/j.camwa.2011.12.005
dc.identifier.issn1221-8421
dc.identifier.issn1221-8421en_US
dc.identifier.issueF3en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2011.12.005
dc.identifier.urihttps://hdl.handle.net/11454/25549
dc.identifier.volume63en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSciendoen_US
dc.relation.ispartofAnalele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSlowly decreasing sequenceen_US
dc.subjectTauberian theoremsen_US
dc.subjectWeighted general control moduloen_US
dc.subjectWeighted meansen_US
dc.titleSome tauberian conditions for the weighted mean method of summabilityen_US
dc.typeArticleen_US

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