Partitions and functional Santalo inequalities

Abstract

We give a direct proof of a functional Santalo inequality due to Fradelizi and Meyer. This provides a new proof of the Blaschke-Santalo inequality. The argument combines a logarithmic form of the Prekopa-Leindler inequality and a partition theorem of Yao and Yao.

6 pages, file might be slightly different from the published version

References in corpus (1)

• On the Yao-Yao partition theorem

Cited by in corpus (9)

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• Orlicz addition for measures and an optimization problem for the $f$-divergence
• Regularized Brascamp--Lieb inequalities
• On the functional Blaschke-Santalo inequality
• A convex body whose centroid and Santaló point are far apart