  We update our approximate parametrizations of the three-loop splitting
functions for the evolution of unpolarized parton densities in perturbative
QCD. The new information taken into account is given by the additional Mellin
moments recently calculated by Retey and Vermaseren. The inclusion of these
constraints reduces the uncertainties of our approximations considerably and
extends their region of applicability by about one order of magnitude to lower
momentum fractions x .
