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arXiv · 1303.3114

A note on Santaló inequality for the polarity transform and its reverse

Shiri Artstein-Avidan·Boaz Slomka
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Abstract

We prove a Santaló and a reverse Santaló inequality for the polarity transform, which was recently re-discovered by Artstein-Avidan and Milman, in the class consisting of (even) log-concave functions attaining their maximal value 1 at the origin, also called geometric log-cancave functions. The bounds are sharp up to the optimal universal constants.

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Shiri Artstein-Avidan, Boaz Slomka. 2013-09-11. A note on Santaló inequality for the polarity transform and its reverse. https://arxiv.org/abs/1303.3114

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