On the approximation of analytic functions by the -Bernstein polynomials in the case .
The sharpness of convergence results for -Bernstein polynomials in the case
Due to the fact that in the case the -Bernstein polynomials are no longer positive linear operators on the study of their convergence properties turns out to be essentially more difficult than that for In this paper, new saturation theorems related to the convergence of -Bernstein polynomials in the case are proved.
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