The limiting semigroup of the Bernstein iterates: degree of convergence

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ON THE DEGREE OF APPROXIMATION IN VORONOVSKAJA'S THEOREM (2007, unknown): “Then for • g ∈ C(4)[0, 1] : ‖n · [Bng − g]−Ag‖∞ ≤ 24 n (‖g ′′′‖+ ‖g((4))‖) (see [8]); • g ∈ C(3)[0, 1] : ‖n · [Bng − g]−Ag‖∞ ≤ C n · ‖φ 3 · g′′′‖ (see [4]).”
On Genuine Bernstein–Durrmeyer Operators (2007, methodology): “By using the approach of [ 6 ], D. Kacs´ o [7] obtained”