Some classical Tauberian theorems for (C,1,1,1) summable triple sequences

dc.contributor.authorÇanak I.
dc.contributor.authorTotur U.
dc.date.accessioned2019-10-27T08:20:40Z
dc.date.available2019-10-27T08:20:40Z
dc.date.issued2016
dc.departmentEge Üniversitesien_US
dc.description.abstractLet (umns) be a (C,1,1,1) summable triple sequence of real numbers. We give one-sided Tauberian conditions of Landau and Hardy type under which (umns) converges in Pringsheim's sense. We prove that (umns) converges in Pringsheim's sense if (umns) is slowly oscillating in certain senses. Moreover, we extend a Tauberian theorem given by Móricz [11] for double sequences to triple sequences.en_US
dc.identifier.doi10.1515/gmj-2015-0007
dc.identifier.endpage42en_US
dc.identifier.issn1072947X
dc.identifier.issn1072-947Xen_US
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage33en_US
dc.identifier.urihttps://doi.org/10.1515/gmj-2015-0007
dc.identifier.urihttps://hdl.handle.net/11454/25758
dc.identifier.volume23en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter de Gruyter GmbHen_US
dc.relation.ispartofGeorgian Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(C, 1, 1, 1) summabilityen_US
dc.subjectone-sided Tauberian conditionen_US
dc.subjectslowly oscillating sequenceen_US
dc.subjectTriple sequenceen_US
dc.titleSome classical Tauberian theorems for (C,1,1,1) summable triple sequencesen_US
dc.typeArticleen_US

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