Abstract:
The estimates are refined for the deviations of the Bernstein polynomials from functions at a fixed point and for the remainders in the asymptotic formulas for these deviations for differentiable functions.
Citation:
S. A. Telyakovskii, “On the rate of approximation of functions by the Bernstein polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 3, 2008, 162–169; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S177–S184