Asymptotic behaviour of differentiated Bernstein polynomials


Heiner Gonska, Ioan Ra┼ča


In the present note we give a full quantitative version of a theorem of Floater dealing with the asymptotic behaviour of differentiated Bernstein polynomials. While Floater's result is a generalization of the classical Voronovskaya theorem, ours generalizes a hardly known quantitative version of this theorem due to Videnski\u{\i}, among others.