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Recent results on approximation of convex bodies by polytopes Werner, Elisabeth


The first recent result, obtained jointly with J. Grote, generalizes a theorem by Ludwig, Schuett and Werner on approximation of a convex body K in the symmetric difference metric by an arbitrarily placed polytope with a fixed number of vertices. The second recent result is by S.Hoehner, C. Schuett and E. Werner. It gives a lower bound, in the surface deviation, on the approximation of the Euclidean ball by an arbitrary positioned polytope with a fixed number of k-dimensional faces.

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