Approximation theorems via power series statistical convergence and applications for sequences of monotone and sublinear operators

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dc.contributor.authorYildiz, Sevda
dc.contributor.authorDemirci, Kamil
dc.contributor.authorDirik, Fadime
dc.date.accessioned2026-04-25T14:19:54Z
dc.date.available2026-04-25T14:19:54Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we address the problem of extending Korovkin-type approximation theorems to sequences of monotone and sublinear operators via the concept of power series statistical convergence (statistical convergence with respect to power series methods), which is incompatible with statistical convergence and in general a non-matrix method. It is important to emphasise that any positive linear operator is monotone sublinear, but the opposite is not correct. We establish several Korovkin-type theorems under these generalized settings and demonstrate their applicability with concrete examples.
dc.identifier.doi10.1007/s13398-025-01767-4
dc.identifier.issn1578-7303
dc.identifier.issn1579-1505
dc.identifier.issue4
dc.identifier.orcid0000-0002-5976-9768
dc.identifier.orcid0000-0002-4730-2271
dc.identifier.orcid0000-0002-9316-9037
dc.identifier.scopus2-s2.0-105011686782
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s13398-025-01767-4
dc.identifier.urihttps://hdl.handle.net/11486/8237
dc.identifier.volume119
dc.identifier.wosWOS:001537569100003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer-Verlag Italia Srl
dc.relation.ispartofRevista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260420
dc.subjectPower series method
dc.subjectStatistical convergence
dc.subjectMonotone and sublinear operators
dc.subjectChoquet integral
dc.titleApproximation theorems via power series statistical convergence and applications for sequences of monotone and sublinear operators
dc.typeArticle

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