On the approximation of a polytope by its dual $L_{p}$-centroid bodies

DOI10.1512/iumj.2013.62.4875zbMath1288.52002arXiv1107.3683OpenAlexW2963221395MaRDI QIDQ5402181

Grigoris Paouris, Elisabeth M. Werner

Publication date: 6 March 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3683

zbMATH Keywords

approximationpolytopesymmetric difference metricfloating bodies\(L_p\)-centroid body\(L_p\)-Brunn-Minkowski theoryuniformly convex body

Mathematics Subject Classification ID

Approximation by convex sets (52A27) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Affine differential geometry (53A15)

Related Items (7)

Mirror symmetric solutions to the centro-affine Minkowski problem ⋮ Floating bodies and approximation of convex bodies by polytopes ⋮ Floating functions ⋮ Ulam floating functions ⋮ A generalized rotationally symmetric case of the centroaffine Minkowski problem ⋮ The surface area deviation of the Euclidean ball and a polytope ⋮ Approximation of smooth convex bodies by random polytopes

This page was built for publication: On the approximation of a polytope by its dual $L_{p}$-centroid bodies