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A Note on Some Inequalities for Finite Sums and an Application to Entropies of Probability Distributions

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Journal of Computational Analysis and Applications

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.

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REFERENCES

  1. J.-P. Allouche and M. Mendes France, On an extremal property of the Rudin-Shapiro sequence, Mathematika 42, 33-38 (1985).

    Google Scholar 

  2. J.-P. Allouche, M. Mendes France, and G. Tenenbaum, Entropy: An inequality, Tokyo J. Math. 11(2), 323-328 (1988).

    Google Scholar 

  3. C. Jardas, J. Pečarić, R. Roki, and N. Sarapa, On an inequality of Hardy-Littlewood-Pólya and some applications to entropies, Glasn. Mat. 32(52), 201-206 (1997).

    Google Scholar 

  4. A. Rényi, Wahrscheinlichkeitsrechnung (mit einem Anhang über Informationstheorie), VEB Deutscher Verlag der Wissenschaften, Berlin, 1966.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Rijeka, Omladinska 14, 51000, Rijeka, Croatia

    Cvetan Jardas

  2. Faculty of Textile Technology, University of Zagreb, Pierottijeva, 6, 10000, Zagreb, Croatia

    Josip Pečarić

  3. Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, 10000, Zagreb, Croatia

    Rajko Roki

  4. Department of Mathematics, University of Zagreb, Bijenička 30, 10000, Zagreb, Croatia

    Nikola Sarapa

Authors
  1. Cvetan Jardas
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  2. Josip Pečarić
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  3. Rajko Roki
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  4. Nikola Sarapa
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Jardas, C., Pečarić, J., Roki, R. et al. A Note on Some Inequalities for Finite Sums and an Application to Entropies of Probability Distributions. Journal of Computational Analysis and Applications 1, 115–120 (1999). https://doi.org/10.1023/A:1022674705222

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  • DOI: https://doi.org/10.1023/A:1022674705222

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