Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem

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dc.contributor.authorKama, Ramazan
dc.contributor.authorAltay, Bilal
dc.date.accessioned2024-12-24T19:28:04Z
dc.date.available2024-12-24T19:28:04Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we introduce some new multiplier spaces related to a series Sigma(i)x(i) in a normed space X through f-statistical summability and give some characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in X and X*, respectively. We also obtain a new version of the Orlicz-Pettis theorem within the frame of the f-statistical convergence.
dc.identifier.doi10.1080/01630563.2021.1961803
dc.identifier.endpage1422
dc.identifier.issn0163-0563
dc.identifier.issn1532-2467
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85112434809
dc.identifier.scopusqualityQ2
dc.identifier.startpage1410
dc.identifier.urihttps://doi.org/10.1080/01630563.2021.1961803
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6908
dc.identifier.volume42
dc.identifier.wosWOS:000684726100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofNumerical Functional Analysis and Optimization
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectStatistical convergence
dc.subjectOrlicz-Pettis Theorem
dc.subjectweakly unconditionally Cauchy series
dc.subjectcompleteness
dc.titleMultiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem
dc.typeArticle

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