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Zbl 1159.52301
Crouzeix, Michel
A family of inequalities for convex sets in the plane. (Une famille d'inégalités pour les ensembles convexes du plan.) (French)
[J] Ann. Math. Blaise Pascal 12, No. 2, 223-230 (2005). ISSN 1259-1734

Summary: Nous considérons une famille de fonctions ne dépendant que de la forme d'un ensemble convexe du plan. Nous en donnons des majorations faisant intervenir le plus petit rapport des rayons des couronnes qui contiennent la frontière de ce convexe.
MSC 2000:
*52A40 Geometric inequalities, etc. (convex geometry)
26B25 Convexity and generalizations (several real variables)
52A10 Convex sets in 2 dimensions (including convex curves)
52C05 Lattices and convex bodies in 2 dimensions

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