Approximation of Abstract Korovkin-Type via Monotone Sublinear Operators: A Power Series Methods and Modified Operators

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dc.contributor.authorYildiz, Sevda
dc.date.accessioned2026-04-25T14:19:47Z
dc.date.available2026-04-25T14:19:47Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractThis paper introduces a novel framework for approximation through monotone and sublinear operators using the power series method to unify and extend abstract Korovkin-type results. We establish abstract Korovkin-type approximation theorems that are applicable across both a locally compact metric space (as well as a compact metric space) and a compact Hausdorff space. Our results extend previous works by establishing approximation results for nonlinear operators in different function spaces under regular summability methods. We also use a modified modulus of continuity, adapted to the structural properties of the space under consideration, which allows us to derive quantitative estimates. Furthermore, we illustrate the theoretical findings through constructed examples of monotone sublinear operators, including several multivariate extensions developed and analyzed here for the first time.
dc.identifier.doi10.1007/s00009-025-03008-9
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue1
dc.identifier.orcid0000-0002-4730-2271
dc.identifier.scopus2-s2.0-105021805802
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00009-025-03008-9
dc.identifier.urihttps://hdl.handle.net/11486/8182
dc.identifier.volume23
dc.identifier.wosWOS:001614468400002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYildiz, Sevda
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofMediterranean Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260420
dc.subjectMultivariate nonlinear operators
dc.subjectabstract Korovkin-type theorem
dc.subjectpower series method
dc.subjectmodulus of continuity
dc.titleApproximation of Abstract Korovkin-Type via Monotone Sublinear Operators: A Power Series Methods and Modified Operators
dc.typeArticle

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