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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2002 Volume 239, Pages 106–117 (Mi tm362)

This article is cited in 3 papers

Error of Asymptotic Formulae for Volume Approximation of Convex Bodies in $\mathbb E^3$

P. M. Gruber

Vienna University of Technology

Abstract: The error of the asymptotic formula for volume approximation of sufficiently differentiable convex bodies in $\mathbb E^3$ by circumscribed convex polytopes is estimated. This then is applied to the isoperimetric problem for convex polytopes in a Minkowski 3-space.

UDC: 514.17

Received in November 2000

Language: English


 English version:
Proceedings of the Steklov Institute of Mathematics, 2002, 239, 96–107

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