| Let Bn(f,) be the Bernstein polynomial of degree n for a continuous functionf with respect to a d-dimensional simplex σ. In this paperi the approximiation error ofpartial derivatives of f by the partial derivatives of Bn(f,) for f ∈ Cr(σ) and for f ∈Cr+2(σ) are obtained. Also, the approximation, in Lp- norm, by the partial derivativesof Bernstein polynomials with integral coefficients on the simplex is considered. |
