Some convergence results for nonlinear Baskakov-Durrmeyer operators

dc.authorid0000-0002-7340-8248en_US
dc.contributor.authorAltın, Hüseyin Ertan
dc.date.accessioned2024-05-27T10:37:26Z
dc.date.available2024-05-27T10:37:26Z
dc.date.issued2023en_US
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators (NBDn) of the form (NBDn) (f; x) =integral(infinity)(0) K-n(x, t, f (t)) dt with x is an element of [0, infinity) and n is an element of N. While Kn(x, t, u) provide convenient assumptions, these operators work on bounded functions, which are defined on all finite subintervals of [0, infinity). This paper comprise some pointwise convergence results for these operators in certain functional spaces. As well as this study can be seen as a continuation of studies about nonlinear operators, it is the first study on nonlinear Baskakov-Durrmeyer or modified Baskakov operators, while there were more papers on linear part of the operators.en_US
dc.identifier.citationAltin, H. E. (2023). Some convergence results for nonlinear Baskakov-Durrmeyer operators. Carpathian Mathematical Publications, 15(1), 95-103.en_US
dc.identifier.doi10.15330/cmp.15.1.95-103
dc.identifier.endpage103en_US
dc.identifier.issn2075-9827
dc.identifier.issn2313-0210
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85163577453en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage95en_US
dc.identifier.urihttp://dx.doi.org/10.15330/cmp.15.1.95-103
dc.identifier.urihttps://hdl.handle.net/20.500.12491/12169
dc.identifier.volume15en_US
dc.identifier.wosWOS:001025754700004en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAltın, Hüseyin Ertan
dc.language.isoenen_US
dc.publisherCarpathian Mathematical Publicationsen_US
dc.relation.ispartofVasyl Stefanyk Precarpathian National Universityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBounded Variationen_US
dc.subjectNonlinear Operatoren_US
dc.subject(L - Psi) Lipschitz Conditionen_US
dc.subjectPointwise Convergenceen_US
dc.titleSome convergence results for nonlinear Baskakov-Durrmeyer operatorsen_US
dc.typeArticleen_US

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