carpathian_2024_40_1_187_194In this paper we will study a Voronovskaja type theorem and a simultaneous approximation result for a new class of generalized Bernstein operators. The new operators are obtained using a generalization of Kantorovich’s method, namely, we will introduce a sequence of operators 
, where 
are Bernstein operators, 
is a differential operator with constant coefficients 
and 
a corresponding antiderivative operator such that 
.
| Author(s) | Vasian, Bianca Ioana |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2024.01.13 |
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