Bernstein-type operators on the unit disk

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dc.contributor.authorRecarte, Marlon J.
dc.contributor.authorMarriaga, Misael E.
dc.contributor.authorPérez, Teresa E.
dc.date.accessioned2023-07-28T10:32:01Z
dc.date.available2023-07-28T10:32:01Z
dc.date.issued2023-05-30
dc.description.abstractWe construct and study sequences of linear operators of Bernstein-type acting on bivariate functions defined on the unit disk. To this end, we study Bernstein-type operators under a domain transformation, we analyze the bivariate Bernstein–Stancu operators, and we introduce Bernstein-type operators on disk quadrants by means of continuously differentiable transformations of the function. We state convergence results for continuous functions and we estimate the rate of convergence. Finally some interesting numerical examples are given, comparing approximations using the shifted Bernstein–Stancu and the Bernstein-type operator on disk quadrants.es
dc.identifier.citationRecarte, M.J., Marriaga, M.E. & Pérez, T.E. Bernstein-Type Operators on the Unit Disk. Bull. Malays. Math. Sci. Soc. 46, 127 (2023).es
dc.identifier.doi10.1007/s40840-023-01520-3es
dc.identifier.issn2180-4206
dc.identifier.urihttps://hdl.handle.net/10115/24080
dc.language.isoenges
dc.publisherSpringer Linkes
dc.rightsAttribution 4.0 Internacional*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectApproximation on the balles
dc.subjectBernstein-type operatorses
dc.titleBernstein-type operators on the unit diskes
dc.typeinfo:eu-repo/semantics/articlees

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