Generalized Bernstein Kantorovich operators: Voronovskaya type results, convergence in variation

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dc.contributor.authorAcu, Ana Maria
dc.contributor.authorAral, Ali
dc.contributor.authorRasa, Ioan
dc.date.accessioned2025-01-21T16:41:17Z
dc.date.available2025-01-21T16:41:17Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThis paper includes Voronovskaya type results and convergence in variation for the exponential Bernstein Kantorovich operators. The Voronovskaya type result is accompanied by a relation between the mentioned operators and suitable auxiliary discrete operators. Convergence of the operators with respect to the variation seminorm is obtained in the space of functions with bounded variation. We propose a general framework covering the results provided by previous literature.
dc.description.sponsorshipHasso Plattner Excellence Re-search Grant [LBUS-HPI-ERG-2020-07]; Knowledge Transfer Center of the Lucian Blaga University of Sibiu
dc.description.sponsorshipThe authors are very grateful to the reviewers for highly valuable suggestions and remarks. This work was supported by a Hasso Plattner Excellence Re-search Grant (LBUS-HPI-ERG-2020-07) , financed by the Knowledge Transfer Center of the Lucian Blaga University of Sibiu.
dc.identifier.doi10.37193/CJM.2022.01.01
dc.identifier.endpage12
dc.identifier.issn1584-2851
dc.identifier.issn1843-4401
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85120724419
dc.identifier.scopusqualityQ1
dc.identifier.startpage1
dc.identifier.urihttps://doi.org/10.37193/CJM.2022.01.01
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24861
dc.identifier.volume38
dc.identifier.wosWOS:000731591500001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherNorth Univ Baia Mare
dc.relation.ispartofCarpathian Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectGeneralized operators; Voronovskaya type result; Convergence in Variation
dc.titleGeneralized Bernstein Kantorovich operators: Voronovskaya type results, convergence in variation
dc.typeArticle

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