On P-equi-statistical relative convergence in sequences of fuzzy-valued functions with applications to Korovkin-type approximation

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dc.contributor.authorYildiz, Sevda
dc.contributor.authorBayram, Nilay Sahin
dc.date.accessioned2026-04-25T14:20:25Z
dc.date.available2026-04-25T14:20:25Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractIn this study, we introduce and investigate new forms of convergence, namely, P-statistical relative pointwise, uniform, and P-equi-statistical relative convergence, for sequences of functions whose values lie in the space of fuzzy numbers. These notions, motivated by a synthesis of statistical and relative convergence frameworks, are explored both in terms of their structural characteristics and mutual interrelationships. Furthermore, we examine the behavior of their corresponding r-level sets to provide deeper insight into their convergence dynamics. As a principal application, we apply approximation theorems of Korovkin-type for sequences of functions with fuzzy values under the newly proposed modes of convergence, and we compute the rate of convergence.
dc.identifier.doi10.2298/FIL2532621Y
dc.identifier.endpage11636
dc.identifier.issn0354-5180
dc.identifier.issue32
dc.identifier.scopus2-s2.0-105025685352
dc.identifier.scopusqualityQ2
dc.identifier.startpage11621
dc.identifier.urihttps://doi.org/10.2298/FIL2532621Y
dc.identifier.urihttps://hdl.handle.net/11486/8549
dc.identifier.volume39
dc.identifier.wosWOS:001640714600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260420
dc.subjectFuzzy-number-valued function
dc.subjectP-equi-statistical relative convergence
dc.subjectfuzzy Korovkin theory
dc.titleOn P-equi-statistical relative convergence in sequences of fuzzy-valued functions with applications to Korovkin-type approximation
dc.typeArticle

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