Polyhedral approximations of strictly convex compacta

Details Polyhedral approximations of strictly convex compacta Polyhedral approximations of strictly convex compacta

2010-10-12

arxiv.org/abs/1010.2320v1

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

Mathematics

Functional Analysis

Scientific paper

10.1016/j.jmaa.2010.09.007

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.

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