Approximation Results via Power Series Method for Sequences of Monotone and Sublinear Operators

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dc.authoridYILDIZ, Sevda/0000-0002-4730-2271
dc.contributor.authorDemirci, Kamil
dc.contributor.authorDirik, Fadime
dc.contributor.authorYildiz, Sevda
dc.date.accessioned2025-03-23T19:44:44Z
dc.date.available2025-03-23T19:44:44Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we use the power series methods to study Korovkin-type approximation theorems for sequences of operators that are monotone and sublinear. It is important to point out that any positive linear operator is monotone sublinear but the converse is not true. We also calculate the rate of convergence in terms of modulus of continuity. Finally, we provide some examples that satisfy our theorems and give quantitative estimates. We also define Bernstein-Chlodovsky-Kantorovich-Choquet (BCKC) polynomial operators similar to those given before and obtain approximation estimate.
dc.description.sponsorshipScientific and Technological Research Council of Turkiye (TUBITAK)
dc.description.sponsorshipOpen access funding provided by the Scientific and Technological Research Council of Turkiye (TUBITAK). The author(s) has no received any financial support for the research or authorship of this study.
dc.identifier.doi10.1007/s00025-025-02366-w
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85218841163
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00025-025-02366-w
dc.identifier.urihttps://hdl.handle.net/11486/7010
dc.identifier.volume80
dc.identifier.wosWOS:001423555600002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofResults in Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectPower series method
dc.subjectmonotone and sublinear operators
dc.subjectnonlinear Choquet integral
dc.titleApproximation Results via Power Series Method for Sequences of Monotone and Sublinear Operators
dc.typeArticle

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