Partitions and functional Santalo inequalities

Authors :: 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)
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)
Source :: Archiv der Mathematik, Archiv der Mathematik, Springer Verlag, 2009, 92 (1), pp.89-94. ⟨10.1007/s00013-008-3014-0⟩
Publication Year :: 2010
Publisher :: arXiv, 2010.
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.<br />Comment: 6 pages, file might be slightly different from the published version

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

ISSN :: 0003889X and 14208938
Database :: OpenAIRE
Journal :: Archiv der Mathematik, Archiv der Mathematik, Springer Verlag, 2009, 92 (1), pp.89-94. ⟨10.1007/s00013-008-3014-0⟩
Accession number :: edsair.doi.dedup.....8995d283f7e6f7c56cc545ebb79b93b3
Full Text :: https://doi.org/10.48550/arxiv.1011.2119