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Generalized relative information and information inequalities. (English) Zbl 1051.94009

The author obtains bounds on Csiszár’s \(f\)-divergence in terms of relative information of type \(s\) using an approach he used earlier [S. S. Dragomir, Other inequalities for Csiszár divergence and applications, in: Inequalities for Csiszár \(f\)-divergence in information theory, available online at http://rgmia.vu.edu.au/monographs/csiszar.htm]. The results obtained in this way lead to bounds in terms of \(\chi^2\)-divergence, Kullback-Leibler’s relative information and Hellinger’s discrimination.

MSC:

94A17 Measures of information, entropy
26D15 Inequalities for sums, series and integrals
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