Error of Asymptotic Formulae for Volume Approximation of Convex Bodies in |
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Authors: | Peter M Gruber |
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Institution: | Technische Universit?t Wien, Vienna, Austria, AT
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Abstract: | We estimate the error of asymptotic formulae for volume approximation of sufficiently differentiable convex bodies by circumscribed
convex polytopes as the number of facets tends to infinity. Similar estimates hold for approximation with inscribed and general
polytopes and for vertices instead of facets. Our result is then applied to estimate the minimum isoperimetric quotient of
convex polytopes as the number of facets tends to infinity.
Received 16 July 2001 |
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Keywords: | 2000 Mathematics Subject Classification: 52A20 52A21 52A27 52A38 52A40 53A15 |
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