Cesàro summability of sequences in intuitionistic fuzzy normed spaces and related Tauberian theorems

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dc.contributor.authorTalo Ö.
dc.contributor.authorYavuz E.
dc.date.accessioned2024-07-22T08:06:23Z
dc.date.available2024-07-22T08:06:23Z
dc.date.issued2021
dc.description.abstractWe define the concept of Cesàro summability method in intuitionistic fuzzy normed spaces and prove a related Tauberian theorem. Also, we define slowly oscillating sequences in intuitionistic fuzzy normed spaces, prove related theorems and show that Cesàro summability of slowly oscillating sequences implies ordinary convergence in intuitionistic fuzzy normed spaces. Finally, we give an analogue of classical two-sided Tauberian theorem due to Hardy by using the concept of q-boundedness. © 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
dc.identifier.DOI-ID10.1007/s00500-020-05301-z
dc.identifier.issn14327643
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/13483
dc.language.isoEnglish
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.subjectBoundedness
dc.subjectIntuitionistic fuzzy
dc.subjectSlowly oscillating
dc.subjectSummability
dc.subjectTauberian theorem
dc.subjectFuzzy sets
dc.titleCesàro summability of sequences in intuitionistic fuzzy normed spaces and related Tauberian theorems
dc.typeArticle

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