Approximation of the Euclidean ball by polytopes
Monika Ludwig; Carsten Schütt; Elisabeth Werner
Studia Mathematica (2006)
- Volume: 173, Issue: 1, page 1-18
- ISSN: 0039-3223
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topMonika Ludwig, Carsten Schütt, and Elisabeth Werner. "Approximation of the Euclidean ball by polytopes." Studia Mathematica 173.1 (2006): 1-18. <http://eudml.org/doc/285244>.
@article{MonikaLudwig2006,
abstract = {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
$volₙ(B₂ⁿ△ P) ≤ c volₙ(B₂ⁿ)N^\{-2/(n-1)\}$
where B₂ⁿ denotes the Euclidean unit ball of dimension n.},
author = {Monika Ludwig, Carsten Schütt, Elisabeth Werner},
journal = {Studia Mathematica},
keywords = {convex body; approximation by polytopes},
language = {eng},
number = {1},
pages = {1-18},
title = {Approximation of the Euclidean ball by polytopes},
url = {http://eudml.org/doc/285244},
volume = {173},
year = {2006},
}
TY - JOUR
AU - Monika Ludwig
AU - Carsten Schütt
AU - Elisabeth Werner
TI - Approximation of the Euclidean ball by polytopes
JO - Studia Mathematica
PY - 2006
VL - 173
IS - 1
SP - 1
EP - 18
AB - 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
$volₙ(B₂ⁿ△ P) ≤ c volₙ(B₂ⁿ)N^{-2/(n-1)}$
where B₂ⁿ denotes the Euclidean unit ball of dimension n.
LA - eng
KW - convex body; approximation by polytopes
UR - http://eudml.org/doc/285244
ER -
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