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Fine Approximation of Convex Bodies by Polytopes by Naszódi, Márton; Nazarov, Fedor; Ryabogin, Dmitry is a scholarly article available to read on EtoBox.

What is Fine Approximation of Convex Bodies by Polytopes about?

We prove that for every convex body $K$ with the center of mass at the origin and every $\varepsilon\in \left(0,\frac{1}{2}\right)$, there exists a convex polytope $P$ with at most $e^{O(d)}\varepsilon^{-\frac{d-1}{2}}$ vertices such that $(1-\varepsilon)K\subset P\subset K$.

Author

Naszódi, Márton; Nazarov, Fedor; Ryabogin, Dmitry

Published

2017

Language

EN