Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 14 (2005) no. 3, pp. 331-352. 
@article{AFST_2005_6_14_3_331_0,
     author = {Bolley, Fran\c{c}ois and Villani, C\'edric},
     title = {Weighted {Csisz\'ar-Kullback-Pinsker} inequalities and applications to transportation inequalities},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {331--352},
     publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
     address = {Toulouse},
     volume = {Ser. 6, 14},
     number = {3},
     year = {2005},
     mrnumber = {2172583},
     zbl = {1087.60008},
     language = {en},
     url = {http://archive.numdam.org/item/AFST_2005_6_14_3_331_0/}
}
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Bolley, François; Villani, Cédric. Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 14 (2005) no. 3, pp. 331-352. http://archive.numdam.org/item/AFST_2005_6_14_3_331_0/

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