Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Jensen's inequality and new entropy bounds | Journal: | Applied Mathematics Letters | Volume: | 22 | Issue: | 8 | First page: | 1262 | Last page: | 1265 | Issue Date: | 1-Aug-2009 | Rank: | M22 | ISSN: | 0893-9659 | DOI: | 10.1016/j.aml.2009.01.040 | Abstract: | We establish new lower and upper bounds for Jensen's discrete inequality. Applying those results in information theory, we obtain new and more precise bounds for Shannon's entropy. |
Keywords: | Convex mappings | Entropy | Global bounds | Jensen's inequality | Power series representations | Publisher: | Elsevier |
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