A direct proof of the functional Santalo inequality

By Joseph Lehec. 2010

72 citations recorded by the source corpus.

Abstract We give a simple proof of a functional version of the Blaschke–Santalo inequality due to Artstein, Klartag and Milman. The proof is by induction on the dimension and does not use the Blaschke–Santalo inequality. To cite this article: J. Lehec, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/f03c7eeb379a752d6be15e3949d6b72e42d5477c

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In Applied Mathematics

1. Ilaria Fragalà
2. Andrea Colesanti
3. M. Fimiani

Citations in the corpus

• The first variation of the total mass of log-concave functions and related inequalities (2013, background): “In particular, we mention the so-called BlaschkeSantaló inequality, involving the product of the volume of a convex body and its polar: functional versions of it have been achieved in [2], [1], [10], [20] and [11].”