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Polyhedral approximations of strictly convex compacta |
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| Authors: | Maxim V Balashov |
| Institution: | a Department of Higher Mathematics, Moscow Institute of Physics and Technology, Institutski str. 9, Dolgoprudny, Moscow region, Russia 141700 b Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia 1000 |
| 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. |
| Keywords: | Modulus of convexity Set-valued mapping Strict convexity Uniform convexity Supporting function Grid Approximation |
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