Fine approximation of convex bodies by polytopes

Autor:	Naszódi, Márton, Nazarov, Fedor, Ryabogin, Dmitry
Rok vydání:	2017
Předmět:	Mathematics - Classical Analysis and ODEs 52B99
Druh dokumentu:	Working Paper
Popis:	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 $(1-\varepsilon)K\subset P\subset K$. Comment: 12 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1705.01867 Zobrazit plný text záznamu View this record from Arxiv