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arXiv · 1607.07141

A unified treatment for Lp Brunn-Minkowski type inequalities

Du Zou·Ge Xiong
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Abstract

A unified approach used to generalize classical Brunn-Minkowski type inequalities to Lp Brunn-Minkowski type inequalities, called the Lp transference principle, is refined in this paper. As illustrations of the effectiveness and practicability of this method, several new Lp Brunn-Minkowski type inequalities concerning the mixed volume, moment of inertia, quermassintegral, projection body and capacity are established.

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Du Zou, Ge Xiong. 2016-07-25. A unified treatment for Lp Brunn-Minkowski type inequalities. https://arxiv.org/abs/1607.07141

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