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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 239, Pages 106–117 (Mi tm362)  
This article is cited in 3 scientific papers (total in 3 papers)

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

P. M. Gruber

Vienna University of Technology
Full-text PDF (197 kB) Citations (3)
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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.
Received in November 2000
Bibliographic databases:
UDC: 514.17
Language: English
Citation: P. M. Gruber, “Error of Asymptotic Formulae for Volume Approximation of Convex Bodies in $\mathbb E^3$”, Discrete geometry and geometry of numbers, Collected papers. Dedicated to the 70th birthday of professor Sergei Sergeevich Ryshkov, Trudy Mat. Inst. Steklova, 239, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 106–117; Proc. Steklov Inst. Math., 239 (2002), 96–107
Citation in format AMSBIB
\Bibitem{Gru02}
\by P.~M.~Gruber
\paper Error of Asymptotic Formulae for Volume Approximation of Convex
Bodies in~$\mathbb E^3$
\inbook Discrete geometry and geometry of numbers
\bookinfo Collected papers. Dedicated to the 70th birthday of professor Sergei Sergeevich Ryshkov
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 239
\pages 106--117
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm362}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1975138}
\zmath{https://zbmath.org/?q=an:1068.52007}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 239
\pages 96--107
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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