ASYMPTOTIC ESTIMATES FOR BEST AND STEPWISE APPROXIMATION OF CONVEX-BODIES .2.

We derive an asymptotic formula for the difference of the volumes of a smooth convex body and its inscribed polytopes of maximum volume as the number of vertices tends to infinity. A similar result is proved for circumscribed polytopes. In addition, step-by-step approximation results are presented. The proofs are based on Delone triangulations, resp. Dirichlet - Voronoi tilings and make use of a generalized version of Blaschke's ''Schuttelung''; they are quite involved.