A note on Santaló inequality for the polarity transform and its reverse
A note on Santaló inequality for the polarity transform and its reverse
We prove a Santaló and a reverse Santaló inequality for the class consisting of even log-concave functions attaining their maximal value $1$ at the origin, also called even geometric log-concave functions. We prove that there exist universal numerical constants $c,C>0$ such that for any even geometric log-concave function $f=e^{-\varphi }$, …