Partitions and functional Santalo inequalities

Details Partitions and functional Santalo inequalities Partitions and functional Santalo inequalities

2010-11-09

arxiv.org/abs/1011.2119v1

Arch. Math. 92 (1) (2009) 89-94

Mathematics

Functional Analysis

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

Scientific paper

10.1007/s00013-008-3014-0

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.

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