Some new minimax inequalities for centered convex bodies

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2024年7月31日

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Horst Martini,
Zokhrab Mustafaev,
Sakhavet M. Zarbaliev

摘要

The purpose of this manuscript is to derive some new minimax inequalities for centered convex bodies in ${\mathbb {R}}^{d}$ $R^{d}$ . As consequences, new characterizations of ellipsoids will be established as well. Some open problems related to the Busemann-Petty list of problems will also be discussed.