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Partitions and functional Santaló inequalities

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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.

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  1. Laboratoire d’Analyse et de Mathématiques Appliquées (UMR 8050), Université Paris-Est, 5, boulevard Descartes, 77454, Marne la Vallée Cedex 2, France

    Joseph Lehec

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  1. Joseph Lehec
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Correspondence to Joseph Lehec.

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Received: 21 August 2008

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Lehec, J. Partitions and functional Santaló inequalities. Arch. Math. 92, 89–94 (2009). https://doi.org/10.1007/s00013-008-3014-0

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  • DOI: https://doi.org/10.1007/s00013-008-3014-0

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