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Voronovskaja Theorem for Simultaneous Approximation by Bernstein Operators on a Simplex

Author:
P?lt?nea, Radu   Stan, Gabriel  


Journal:
Mediterranean Journal of Mathematics


Issue Date:
2015


Abstract(summary):

We construct Kantorovich-type operators of higher order associated to the Bernstein operators for the a k-dimensional simplex and we obtain a Voronovskaja type theorem for these operators. As consequence we get a Voronoskaja type theorem for the simultaneous approximation by Bernstein operators on a simplex.


Page:
889-900


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