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2. Partitions and functional Santalo inequalities

Author

Joseph Lehec, Laboratoire d'Analyse et de Mathématiques Appliquées (LAMA), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Fédération de Recherche Bézout-Université Paris-Est Marne-la-Vallée (UPEM), and Université Paris-Est Marne-la-Vallée (UPEM)-Fédération de Recherche Bézout-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS)

Subjects
TheoryofComputation_COMPUTATIONBYABSTRACTDEVICES, Inequality, General Mathematics, media_common.quotation_subject, MathematicsofComputing_NUMERICALANALYSIS, Computer Science::Computational Complexity, Computer Science::Computational Geometry, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], 01 natural sciences, Argument, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, FOS: Mathematics, Mathematics::Metric Geometry, Direct proof, 0101 mathematics, Mathematics, media_common, Computer Science::Cryptography and Security, Partition theorem, MSC: 39B62, 010102 general mathematics, Functional inequalities, TheoryofComputation_GENERAL, Inégalités fonctionnelles, Functional Analysis (math.FA), 010101 applied mathematics, Mathematics - Functional Analysis, TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES, 39B62, Mathematical economics, Logarithmic form
Abstract

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

Published
2010
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