Correction to: Polynomials with bounds and numerical approximation

The result of the main Theorem 2.8 in Després (2017) remains unchanged. Nevertheless the proof must be corrected due to one missprint and missing low order contributions. This correction has its importance in case one desires to implement the method, which is part of our current research.

[1]  Bruno Després,et al.  Polynomials with bounds and numerical approximation , 2017, Numerical Algorithms.