On the Approximation of a Polytope by its Dual L-p-centroid Bodies Academic Article uri icon

abstract

  • We show that the rate of convergence on the approximation of volumes of a convex symmetric polytope P Rn by its dual L p-centroid bodies is independent of the geometry of P. In particular, we show that if P has volume 1, lim p p/log p (|Z p(P)|/|P|-)= n2. We provide an application to the approximation of polytopes by uniformly convex sets.

published proceedings

  • INDIANA UNIVERSITY MATHEMATICS JOURNAL

author list (cited authors)

  • Paouris, G., & Werner, E. M.

citation count

  • 7

complete list of authors

  • Paouris, Grigoris||Werner, Elisabeth M

publication date

  • January 2013