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On quadratic transportation cost inequalities
- Source :
-
Journal de Mathematiques Pures et Appliquees . Oct2006, Vol. 86 Issue 4, p342-361. 20p. - Publication Year :
- 2006
-
Abstract
- Abstract: In this paper we study quadratic transportation cost inequalities. To this end we introduce new families of inequalities (for quadratic transportation cost and for relative entropy) that are shown to be equivalent to the Poincaré inequality. This allows us to give some examples of measures satisfying but not the logarithmic-Sobolev inequality. [Copyright &y& Elsevier]
- Subjects :
- *TRANSPORTATION
*MATHEMATICAL inequalities
*ENTROPY
*INFINITE processes
Subjects
Details
- Language :
- English
- ISSN :
- 00217824
- Volume :
- 86
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal de Mathematiques Pures et Appliquees
- Publication Type :
- Academic Journal
- Accession number :
- 22579161
- Full Text :
- https://doi.org/10.1016/j.matpur.2006.06.003