Polyhedral approximations of strictly convex compacta
Functional Analysis
2010-10-13 v1 General Topology
Metric Geometry
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.
Cite
@article{arxiv.1010.2320,
title = {Polyhedral approximations of strictly convex compacta},
author = {Maxim V. Balashov and Dušan Repovš},
journal= {arXiv preprint arXiv:1010.2320},
year = {2010}
}