| Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On certain new inequalities in information theory | Journal: | Acta Mathematica Hungarica | Volume: | 124 | Issue: | 4 | First page: | 353 | Last page: | 361 | Issue Date: | 1-Oct-2009 | Rank: | M23 | ISSN: | 0236-5294 | DOI: | 10.1007/s10474-009-8205-z | Abstract: | We prove a global assertion on logarithmic convexity of Csiszár's f-divergence. It follows that the relative s-information measure is log-convex for s ∈ ℝ, wherefrom some new inequalities connecting Kullback-Leibler divergence and χ2 and Hellinger distances arise. |
Keywords: | αOrder divergence | Csiszár's f-divergence | Hellinger distance | Logarithmic convexity | Relative s-information | Publisher: | Springer Link |
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