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arXiv · 1408.6719

Orlicz-Legendre Ellipsoids

Du Zou·Ge Xiong
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Abstract

The Orlicz-Legendre ellipsoids, which are in the framework of emerging dual Orlicz Brunn-Minkowski theory, are introduced for the first time. They are in some sense dual to the recently found Orlicz-John ellipsoids, and have largely generalized the classical Legendre ellipsoid of inertia. Several new affine isoperimetric inequalities are established. The connection between the characterization of Orlicz-Legendre ellipsoids and isotropy of measures is demonstrated.

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Du Zou, Ge Xiong. 2014-08-24. Orlicz-Legendre Ellipsoids. https://arxiv.org/abs/1408.6719

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