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On some inequalities for entropies of discrete probability distributions

Published online by Cambridge University Press:  17 February 2009

Cvetan Jardas ,
Josip Pečarić ,
Rajko Roki  and
Nikola Sarapa
Cvetan Jardas
Affiliation:
Department of Mathematics, University of Rijeka, 51000 Rijeka, Omladinska 14, Croatia.
Josip Pečarić
Affiliation:
Faculty of Textile Technology, University of Zagreb, 10000 Zagreb, Pierottijeva 6, Croatia.
Rajko Roki
Affiliation:
Faculty of Food Technology and Biotechnology, University of Zagreb, 10000 Zagreb, Pierottijeva 6, Croatia.
Nikola Sarapa
Affiliation:
Department of Mathematics, University of Zagreb, 10000 Zagreb, Bijenička 30, Croatia.
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Abstract

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In this paper we prove some inequalities for finite sums and infinite series with positive terms. As an application of these results we obtain some inequalities for entropies of discrete probability distributions.

Type
Research Article
Information
The ANZIAM Journal , Volume 40 , Issue 4 , April 1999 , pp. 535 - 541
Copyright
Copyright © Australian Mathematical Society 1999

References

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[3]Jardas, C., Pečarić, J., Roki, R. and Sarapa, N., “On an inequality for the entropy of a probability distribution”, submitted for publication.Google Scholar
[4]Jardas, C., Pečrić, J., Roki, R. and Sarapa, N., “On some inequalities for series and probability entropies”, submitted for publication.Google Scholar
[5]Pečarić, J. and Persson, L.-E., “On an inequality of Hardy-Littlewood-Pólya”, Math. Gazette 79 (1995) 383–385.CrossRefGoogle Scholar