Approximation of the Euclidean ball by polytopes
Monika Ludwig ; Carsten Schütt ; Elisabeth Werner
Studia Mathematica, Tome 173 (2006), p. 1-18 / Harvested from The Polish Digital Mathematics Library
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There is a constant c such that for every n ∈ ℕ, there is an Nₙ so that for every N≥ Nₙ there is a polytope P in ℝⁿ with N vertices and volₙ(B₂ⁿ△P)≤cvolₙ(B₂ⁿ)N-2/(n-1) where B₂ⁿ denotes the Euclidean unit ball of dimension n.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:285244 
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     title = {Approximation of the Euclidean ball by polytopes},
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     volume = {173},
     year = {2006},
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     zbl = {1100.52001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm173-1-1}
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Monika Ludwig; Carsten Schütt; Elisabeth Werner. Approximation of the Euclidean ball by polytopes. Studia Mathematica, Tome 173 (2006) pp. 1-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm173-1-1/