TY  - GEN
T1  - On generalized Csiszár-Kullback inequalities
A1  - Arnold,Anton
A1  - Markowich,Peter
A1  - Toscani,Giuseppe
A1  - Unterreiter,Andreas
Y1  - 2011/11/04
N2  - The classical Csiszar-Kullback inequality bounds the L^{1}-distance of two probability densities in term of their relative (convex) entropies. Here we generalize such inequalities to not necessarily normalized and possibly non-positive L^{1} functions. Also, our generalized Csiszar-Kullback inequalities are in many important cases sharper than the classical ones (in terms of the functional dependence of the L^{1} bound on the relative entropy). Moreover our construction of these bounds is rather elementary.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2011/4290
ER  -