Convergence Follows From Cesaro Summability in the Case of Slowly Decreasing or Slowly Oscillating Double Sequences in Certain Senses

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dc.contributor.authorOnder, Zerrin
dc.contributor.authorCanak, Ibrahim
dc.date.accessioned2021-05-03T20:38:22Z
dc.date.available2021-05-03T20:38:22Z
dc.date.issued2020
dc.departmentEge Üniversitesien_US
dc.description.abstractLet (u(mu nu)) be a double sequence of real or complex numbers which is (C,1,1) summable to a finite limit. We obtain some Tauberian conditions of slow decreasing or oscillating types in terms of the generator sequences in certain senses under which P-convergence of a double sequence (u(mu nu)) follows from its (C,1,1) summability. We give Tauberian theorems in which Tauberian conditions are of Hardy and Landau types as special cases of our results. We present some Tauberian conditions in terms of the de la Vall ee Poussin means of double sequences under which P-convergence of a double sequence (u(mu nu)) follows from its (C,1,1) summability. Moreover, we give analogous results for (C,1,0) and (C,0,1) summability methods.en_US
dc.identifier.doi10.2298/FIL2013489O
dc.identifier.endpage4511en_US
dc.identifier.issn0354-5180
dc.identifier.issn0354-5180en_US
dc.identifier.issue13en_US
dc.identifier.scopus2-s2.0-85103251573en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage4489en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2013489O
dc.identifier.urihttps://hdl.handle.net/11454/70391
dc.identifier.volume34en_US
dc.identifier.wosWOS:000629651000020en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakWeb of Scienceen_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/openAccessen_US
dc.subjectconvergence in Pringsheim's senseen_US
dc.subjectdouble sequencesen_US
dc.subjectgenerator sequencesen_US
dc.subjectone-sided Tauberian conditionsen_US
dc.subjecttwo-sided Tauberian conditionsen_US
dc.subjectslowly decreaseen_US
dc.subjectslow oscillationen_US
dc.subjectstrong slow decreaseen_US
dc.subjectstrong slow oscillationen_US
dc.subjectTauberian theoremsen_US
dc.subject(C,1,1)en_US
dc.subject(C,1,0) and (C,0,1) summability methodsen_US
dc.titleConvergence Follows From Cesaro Summability in the Case of Slowly Decreasing or Slowly Oscillating Double Sequences in Certain Sensesen_US
dc.typeArticleen_US

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