Umbrellas and polytopal approximation of the euclidean ball

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There are two positive, absolute constants $c_{1}$ and $c_{2}$ so that the volume of the difference set of the $d$-dimensional Euclidean ball and an inscribed polytope with n vertices is larger than $$ c_{2}\ d\ {n}^{-\frac{2}{d-1}}vol_d(B^d_2) $$ for $n \geq (c_{1}\ d)^{\frac{d-1}{2}}$.

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Metric Geometry, Functional Analysis, 52A

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http://salesiana.dossiersoluciones.com/handle/123456789/153026

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9603208
 http://arxiv.org/abs/math/9603208

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arXiv