BIVARIATE BERNSTEIN POLYNOMIALS THAT REPRODUCE EXPONENTIAL FUNCTIONS

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dc.authoridOzsarac, Firat/0000-0001-7170-9613
dc.contributor.authorBozkurt, Kenan
dc.contributor.authorOzsarac, Firat
dc.contributor.authorAral, Ali
dc.date.accessioned2025-01-21T16:34:18Z
dc.date.available2025-01-21T16:34:18Z
dc.date.issued2021
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we construct Bernstein type operators that reproduce exponential functions on simplex with one moved curved side. The operator interpolates the function at the corner points of the simplex. Used function sequence with parameters alpha and beta not only are gained more modeling flexibility to operator but also satisfied to preserve some exponential functions. We examine the convergence properties of the new approximation processes. Later, we also state its shape preserving properties by considering classical convexity. Finally, a Voronovskaya-type theorem is given and our results are supported by graphics.
dc.identifier.doi10.31801/cfsuasmas.793968
dc.identifier.endpage554
dc.identifier.issn1303-5991
dc.identifier.issue1
dc.identifier.startpage541
dc.identifier.trdizinid439324
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.793968
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay439324
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23939
dc.identifier.volume70
dc.identifier.wosWOS:000663383900033
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAnkara Univ, Fac Sci
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectBernstein operators; exponential functions; classical and exponential convexity; Voronovskaya-type theorem
dc.titleBIVARIATE BERNSTEIN POLYNOMIALS THAT REPRODUCE EXPONENTIAL FUNCTIONS
dc.typeArticle

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