A simple proof of an estimate for the approximation of the Euclidean ball and the Delone triangulation numbers

DOI10.1006/jath.2000.3509zbMath0974.52007OpenAlexW2021516562MaRDI QIDQ5929850

Piotr Mankiewicz, Carsten Schuett

Publication date: 9 December 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/844e02734ccda388ace2e5b4f0f49cfc90284d11

zbMATH Keywords

Delone triangulation numbersEuclidean ballpolytope

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Approximation by convex sets (52A27)

Related Items

Floating bodies and approximation of convex bodies by polytopes ⋮ Best and random approximation of a convex body by a polytope ⋮ A concentration inequality for random polytopes, Dirichlet-Voronoi tiling numbers and the geometric balls and bins problem ⋮ Approximation of smooth convex bodies by random circumscribed polytopes ⋮ Approximation of smooth convex bodies by random polytopes ⋮ On the Delone triangulation numbers ⋮ New analysis of the sphere covering problems and optimal polytope approximation of convex bodies

Cites Work

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• Umbrellas and polytopal approximation of the Euclidean ball
• Dropping a vertex or a facet from a convex polytope
• Asymptotic estimates for best and stepwise approximation of convex bodies II

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