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Partitions and functional Santaló inequalities
Joseph Leheca b✉
- aLaboratoire d’Analyse et de Mathématiques Appliquées (UMR 8050), Université Paris-Est, 5, boulevard Descartes, 77454, Marne la Vallée Cedex 2, France
- bUniversité Paris Est
- ✉Corresponding author
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Abstract
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.

