(Birkhäuser - Springer, 2022-06-29) Adell, José A.; Cárdenas-Morales, Daniel
This paper deals with the approximation of functions by the
classical Bernstein polynomials in terms of the Ditzian–Totik modulus
of smoothness. Asymptotic and non-asymptotic results are respectively
stated for continuous and twice continuously differentiable functions. By
using a probabilistic approach, known results are either completed or
strengthened.
