Weighted Convergence and Applications to Approximation Theorems for Sequences of Monotone and Sublinear Operators

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dc.contributor.authorDemirci, Kamil
dc.contributor.authorDirik, Fadime
dc.contributor.authorYildiz, Sevda
dc.date.accessioned2026-04-25T14:19:55Z
dc.date.available2026-04-25T14:19:55Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we utilize a convergence termed weighted convergence, which is expressed via weighted density. This extends asymptotic (also known in the literature as natural density and linear density) and logarithmic densities. We employ this to express and prove Korovkin-type theorems for sequences of operators that are monotone and sublinear (msLOs). To demonstrate the practical relevance of our results, illustrative examples that satisfy the conditions of our theorems are included. The rate of convergence for these msLOs is analysed using the modulus of continuity.
dc.identifier.doi10.1007/s40995-025-01839-5
dc.identifier.endpage1755
dc.identifier.issn2731-8095
dc.identifier.issn2731-8109
dc.identifier.issue6
dc.identifier.orcid0000-0002-4730-2271
dc.identifier.scopus2-s2.0-105009441467
dc.identifier.scopusqualityQ3
dc.identifier.startpage1747
dc.identifier.urihttps://doi.org/10.1007/s40995-025-01839-5
dc.identifier.urihttps://hdl.handle.net/11486/8242
dc.identifier.volume49
dc.identifier.wosWOS:001520011800001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Int Publ Ag
dc.relation.ispartofIranian Journal of Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260420
dc.subjectWeighted density
dc.subjectMonotone and sublinear operators
dc.subjectChoquet integral
dc.titleWeighted Convergence and Applications to Approximation Theorems for Sequences of Monotone and Sublinear Operators
dc.typeArticle

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