This is an announcement for the paper "Polyhedral approximations of strictly convex compacta" by Maxim V. Balashov and Dusan Repovs.

Abstract: We consider polyhedral approximations of strictly convex compacta in finite dimensional Euclidean spaces (such compacta are also uniformly convex). We obtain the best possible estimates for errors of considered approximations in the Hausdorff metric. We also obtain new estimates of an approximate algorithm for finding the convex hulls.

Archive classification: math.FA math.GN math.MG

Mathematics Subject Classification: 52A20, 52A27, 52A99, 52A41, 52B55

Citation: J. Math. Anal. Appl. 374:2 (2011), 529-537

Submitted from: dusan.repovs@guest.arnes.si

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1010.2320

or

http://arXiv.org/abs/1010.2320