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A Note on Some Inequalities for Finite Sums and an Application to Entropies of Probability Distributions |
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| Authors: | Cvetan Jardas Josip Pe?ari? Rajko Roki Nikola Sarapa |
| Institution: | (1) Department of Mathematics, University of Rijeka, Omladinska 14, 51000 Rijeka, Croatia;(2) Faculty of Textile Technology, University of Zagreb, Pierottijeva, 6, 10000 Zagreb, Croatia;(3) Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia;(4) Department of Mathematics, University of Zagreb, Bijeni ka 30, 10000 Zagreb, Croatia |
| Abstract: | In this paper we prove some inequalities for finite sums with positive terms. As a consequence of these results we obtain an inequality for entropies of discrete probability distributions. |
| Keywords: | Inequality for finite sums entropy of discrete probability distribution convex function |
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