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math.FA2025★ 2 cited
The Scaled Polarity transform and related inequalities
Shoni Gilboa, Alexander Segal, Boaz A. Slomka
In this paper we deal with generalizations of the Mahler volume product for log-concave functions. We show that the polarity transform can be rescaled so that the Mahl…
math.FA2019
On the Linear Structures Induced by the Four Order Isomorphisms Acting on
Dan I. Florentin, Alexander Segal
It is known that the volume functional satisfies certain concavity or convexity inequalities with respect to three of the four linear structures induced b…
math.FA2019
A Santaló-type Inequality for the Transform
Dan I. Florentin, Alexander Segal
This paper deals with an analog of the Mahler volume product related to the transform acting in the class of geometric convex functions . We…