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Titel:

On the reverse Loomis-Whitney inequality

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Campi, S., P. Gritzmann and P. Gronchi
Abstract:
The present paper deals with the problem of computing (or at least estimating) the LW-number λ(n), i.e., the supremum of all γ such that for each convex body K in Rn there exists an orthonormal basis {u1,...,un} such that voln(K)n−1 ≥ γ n Y i=1 voln−1(K|u⊥ i ), where K|u⊥ i denotes the orthogonal projection of K onto the hyperplane u⊥ i perpendicular to ui. Any such inequality can be regarded as a reverse to the well-known classical Loomis– Whitney inequality. We present various results on such...     »
Zeitschriftentitel:
Discrete & Computational Geometry
Jahr:
2018
Heft / Issue:
60
Seitenangaben Beitrag:
115 - 144
Reviewed:
ja
Sprache:
en
Volltext / DOI:
doi:10.1007/s00454-017-9949-9
E-ISSN:
1432-0444
Status:
Erstveröffentlichung
TUM Einrichtung:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik
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