Tauberian Theorems for Sequences in 2-Normed Spaces

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dc.authorid0000-0002-8053-9991
dc.contributor.authorSavas, Rahmet
dc.contributor.authorSezer, Sefa Anıl
dc.date.accessioned2025-05-10T19:54:08Z
dc.date.issued2017
dc.departmentİstanbul Medeniyet Üniversitesi
dc.description.abstractIn this paper we initiate the study of Tauberian theorems for sequences in 2-normed spaces. We introduce a necessary and sufficient Tauberian condition for (C, 1) summable sequences in such spaces. Corollaries allow this condition to be replaced by 2-normed analogues of Schmidt-type slow oscillation condition or Hardy-type two-sided condition.
dc.identifier.doi10.1007/s00025-017-0747-8
dc.identifier.endpage1931
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85028825562
dc.identifier.scopusqualityQ2
dc.identifier.startpage1919
dc.identifier.urihttps://doi.org/10.1007/s00025-017-0747-8
dc.identifier.urihttps://hdl.handle.net/20.500.14730/12957
dc.identifier.volume72
dc.identifier.wosWOS:000416421200020
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofResults in Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250302
dc.subjectTauberian theorems
dc.subject2-normed spaces
dc.subjectslowly oscillating sequences
dc.subjecttwo-sided Tauberian conditions
dc.titleTauberian Theorems for Sequences in 2-Normed Spaces
dc.typeArticle

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