Sharp Gagliardo-Nirenberg inequalities via p-Laplacian type equations , Nonlinear Differential Equations and Applications NoDEA, pp.457-472, 2008. ,
-Gaussian distributions, Journal of Mathematical Physics, vol.53, issue.6, p.63303, 2012. ,
DOI : 10.1063/1.4726197
URL : https://hal.archives-ouvertes.fr/in2p3-00025231
-Gaussian distributions, Journal of Physics A: Mathematical and Theoretical, vol.45, issue.25, p.255303, 2012. ,
DOI : 10.1088/1751-8113/45/25/255303
URL : https://hal.archives-ouvertes.fr/in2p3-00025231
-Gaussian distributions, Journal of Physics A: Mathematical and Theoretical, vol.46, issue.9, p.95303, 2013. ,
DOI : 10.1088/1751-8113/46/9/095303
URL : https://hal.archives-ouvertes.fr/in2p3-00025231
Some properties of generalized Fisher information in the context of nonextensive thermostatistics, Physica A: Statistical Mechanics and its Applications, pp.3140-3154, 2013. ,
Some Results on a ??-divergence, an Extended Fisher Information and Generalized Cram??r-Rao Inequalities, Geometric Science of Information, pp.487-494, 2013. ,
DOI : 10.1007/978-3-642-40020-9_53
Entropy power inequality for the Rényi entropy, eprint: http://www.math.umn, 2013. ,
Asymptotic L1-decay of solutions of the porous medium equation to self-similarity, pp.113-142, 2000. ,
A mass-transportation approach to sharp Sobolev and Gagliardo???Nirenberg inequalities, Advances in Mathematics, vol.182, issue.2, pp.307-332, 2004. ,
DOI : 10.1016/S0001-8708(03)00080-X
URL : https://hal.archives-ouvertes.fr/hal-00157943
Cramer???Rao information plane of orthogonal hypergeometric polynomials, Journal of Computational and Applied Mathematics, vol.186, issue.2, pp.523-541, 2006. ,
DOI : 10.1016/j.cam.2005.03.025
Information theoretic inequalities, IEEE Transactions on Information Theory, vol.37, issue.6, pp.1501-1518, 1991. ,
DOI : 10.1109/18.104312
Improved interpolation inequalities, relative entropy and fast diffusion equations, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, pp.917-934, 2013. ,
Science from Fisher Information: A Unification, 2004. ,
DOI : 10.1017/CBO9780511616907
Some results concerning maximum rényi entropy distributions, Annales de l'Institut Henri Poincare (B) Probability and Statistics, pp.339-351, 2007. ,
Efficiency and Cram??r-Rao type lnequalities for convex loss functions, Journal of Multivariate Analysis, vol.7, issue.1, pp.89-106, 1977. ,
DOI : 10.1016/0047-259X(77)90034-3
Rao type inequality for a convex loss function, in Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, pp.121-128, 1987. ,
Statistical Decision Theory, 2008. ,
DOI : 10.1007/978-0-387-73194-0_3
Extensions of Fisher Information and Stam's Inequality, IEEE Transactions on Information Theory, vol.58, issue.3, pp.1319-1327, 2012. ,
DOI : 10.1109/TIT.2011.2177563
Cram??r???Rao and Moment-Entropy Inequalities for Renyi Entropy and Generalized Fisher Information, IEEE Transactions on Information Theory, vol.51, issue.2, pp.473-478, 2005. ,
DOI : 10.1109/TIT.2004.840871
Über integralungleichungen zwischen einer funktion und ihrer ableitung, Acta Scientiarum Mathematicarum, vol.10, pp.64-74, 1941. ,
The Fisher???Shannon information plane, an electron correlation tool, The Journal of Chemical Physics, vol.120, issue.19, pp.8906-8918, 2004. ,
DOI : 10.1063/1.1697374
The concavity of Rényi entropy power, 2012. ,
Some inequalities satisfied by the quantities of information of Fisher and Shannon, Information and Control, pp.101-112, 1959. ,
? ? -divergence and generalized Fisher information, Transactions of the Sixth Prague Conference on Information Theory, Statistical Decision Functions and Random Processes, pp.223-234, 1973. ,
The Porous Medium Equation: Mathematical Theory, 2006. ,
DOI : 10.1093/acprof:oso/9780198569039.001.0001
Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type, 2006. ,
DOI : 10.1093/acprof:oso/9780199202973.001.0001
Analysis of signals in the Fisher???Shannon information plane, Physics Letters A, vol.312, issue.1-2, pp.27-33, 2003. ,
DOI : 10.1016/S0375-9601(03)00570-X
URL : https://hal.archives-ouvertes.fr/hal-00621781
Beyond the entropy power inequality, via rearrangements , arXiv e-print 1307, 2013. ,