Umbrellas and polytopal approximation of the Euclidean ball

Yehoram Gordon, Shlomo Reisner, Carsten Schütt

Research output: Contribution to journalArticlepeer-review


There are two positive, absolute constants c1 and c2 so that the volume of the difference set of the d-dimensional Euclidean ball Bd2 and an inscribed polytope with n vertices is larger than c1 d vol d(Bd2) n-2/(d-1) for n ≥ (c2 d)(d-1)/2.

Original languageEnglish
Pages (from-to)9-22
Number of pages14
JournalJournal of Approximation Theory
Issue number1
StatePublished - Jul 1997
Externally publishedYes

Bibliographical note

Funding Information:
* Yehoram Gordon was partially supported by the Fund for the Promotion of research at the Technion, and the France-Israel Arc en Ciel program. -Shlomo Reisner was supported by the France-Israel Arc en Ciel program and NSF Grant DMS-9626749. Carsten Schutt has been supported by NSF Grant DMS-9301506.

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Mathematics (all)
  • Applied Mathematics


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