On the minimal volume of simplices enclosing a convex body

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4 Citations (Scopus)

Abstract

Let C ⊂ ℝn be a compact convex body. We prove that there exists an n-simplex S ⊂ ℝn enclosing C such that Vol(S) ≤ nn-1Vol(C).

Original languageEnglish
Pages (from-to)489-492
Number of pages4
JournalArchiv der Mathematik
Volume102
Issue number5
DOIs
Publication statusPublished - 2014 May
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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