The Surface Area Deviation of the Euclidean Ball and a Polytope
| Autor: | Steven Hoehner, Carsten Schuett, Elisabeth M. Werner |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Statistics and Probability
Surface (mathematics) General Mathematics 010102 general mathematics Probability (math.PR) Regular polygon Polytope 01 natural sciences Upper and lower bounds Combinatorics 010104 statistics & probability Euclidean ball FOS: Mathematics Mathematics::Metric Geometry 0101 mathematics Statistics Probability and Uncertainty Inscribed figure Mathematics - Probability Mathematics |
| Popis: | While there is extensive literature on approximation of convex bodies by inscribed or circumscribed polytopes, much less is known in the case of generally positioned polytopes. Here we give upper and lower bounds for approximation of convex bodies by arbitrarily positioned polytopes with a fixed number of vertices in the symmetric surface area deviation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|