The Surface Area Deviation of the Euclidean Ball and a Polytope

Steven D. Hoehner (), Carsten Schütt () and Elisabeth M. Werner ()
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Steven D. Hoehner: Case Western Reserve University
Carsten Schütt: Universität Kiel
Elisabeth M. Werner: Case Western Reserve University

Journal of Theoretical Probability, 2018, vol. 31, issue 1, 244-267

Abstract: Abstract While there is extensive literature on approximation of convex bodies by inscribed or circumscribed polytopes, much less is known in the case of generally positioned polytopes. Here we give upper and lower bounds for approximation of convex bodies by arbitrarily positioned polytopes with a fixed number of vertices or facets in the symmetric surface area deviation.

Keywords: Approximation; Polytopes; Surface deviation; 46B; 52A20; 60B (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10959-016-0701-9

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