论文信息 - A Refinement of Jensen's Inequality with Applications for f-Divergence Measures

A Refinement of Jensen's Inequality with Applications for f-Divergence Measures

A refinement of the discrete Jensen's inequality for convex functions defined on a convex subset in linear spaces is given. Application for $f$% -divergence measures including the Kullback-Leibler and Jeffreys divergences are provided as well.

Silvestru Dragomir

[1] S. Dragomir. Some Refinements of Jensen's Inequality , 1992 .

[2] Imre Csiszár,et al. Information Theory - Coding Theorems for Discrete Memoryless Systems, Second Edition , 2011 .

[3] Peng Gao. Some Refinements of Ky Fan's Inequality , 2004 .

[4] J. Pečarić,et al. AN IMPROVEMENT OF JENSEN'S INEQUALITY WITH SOME APPLICATIONS , 2009 .

[5] S. Dragomir,et al. Properties of some functionals related to Jensen's inequality , 1996 .