<p>In this paper, the <i>j</i>-th mixed cone volume is systematically investigated. We derive sharp bounds for the affine invariant ratio between the <i>j</i>-th mixed cone volume and the mixed volume, which in turn leads to a novel geometric inequality specifically for the mixed cone volume.</p>

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On the Inequalities of the j-th Mixed Cone Volume

  • Yaoru Long,
  • Fangwei Chen

摘要

In this paper, the j-th mixed cone volume is systematically investigated. We derive sharp bounds for the affine invariant ratio between the j-th mixed cone volume and the mixed volume, which in turn leads to a novel geometric inequality specifically for the mixed cone volume.