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 (2)

• A direct proof of the functional Santalo inequality
• On the Yao-Yao partition theorem