Partitions and functional Santaló inequalities

By Joseph Lehec. 2009

50 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1a00424ba8d25806e6c835b6f1afa94bf232fca0

How researchers see this paper

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In Applied Mathematics

1. Joseph Lehec
2. Ronen Eldan
3. Arnaud Guillin
4. Patrick Cattiaux
5. Maxim Raginsky
6. Belinda Tzen

In Geometry and Topology

1. Joseph Lehec

Citations in the corpus

• A direct proof of the functional Santalo inequality (2010, result): “In the special case where the function f is even, this result follows from an earlier inequality of Keith Ball [2]; and in [4], Fradelizi and Meyer prove something more general (see also [5]).”