We study some modifications of Bernstein-Durrmeyer operators on a d-dimensional simplex in order to satisfy a best approximation property and an integro-differential Voronovskaja-type formula. Some applications concerning the representation of the solution of suitable evolution problems are also considered.
Perturbations of Bernstein-Durrmeyer operators on the simplex and best approximation properties
CAMPITI, Michele;TACELLI, CRISTIAN
2009-01-01
Abstract
We study some modifications of Bernstein-Durrmeyer operators on a d-dimensional simplex in order to satisfy a best approximation property and an integro-differential Voronovskaja-type formula. Some applications concerning the representation of the solution of suitable evolution problems are also considered.File in questo prodotto:
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