## 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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