Geodesic
Error of Asymptotic Formulae for Volume Approximation of Convex
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 106-117

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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. 
@article{TM_2002_239_a6,
     author = {P. M. Gruber},
     title = {Error of {Asymptotic} {Formulae} for {Volume} {Approximation} of {Convex}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {106--117},
     publisher = {mathdoc},
     volume = {239},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2002_239_a6/}
}
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P. M. Gruber. Error of Asymptotic Formulae for Volume Approximation of Convex. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 106-117. http://geodesic.mathdoc.fr/item/TM_2002_239_a6/