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On an Inequality for the Entropy of a Probability Distribution

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Abstract

We strengthen a theorem of Allouche, Mendès France and Tenenbaum and also a recent generalization of Daróczy.

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References

  1. J. P. Allouche, M. Mendès France and G. Tenenbaum, Entropy: An inequality, Tokyo J. Math., 11 (1988), 323–328.

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  2. Z. Daróczy, Inequalities for some infinite series, Acta Math. Hungar., 75 (1997), 5–8.

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  3. R. J. McEliece, The Theory of Information and Coding, Addison-Wesley (Reading, Mass., 1977).

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Authors and Affiliations

  1. Mathematics Department, FESB R. Bo'kovića B.B, Split, Croatia

    M. Matić

  2. Applied Mathematics Department, The University of Adelaide, Adelaide, SA, 5005, Australia

    C. E. M. Pearce

  3. Faculty of Textile Technology, University of Zagreb, Pierottijeva G, Zagreb, Croatia

    J. Pečarić

Authors
  1. M. Matić
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  2. C. E. M. Pearce
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  3. J. Pečarić
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Matić, M., Pearce, C.E.M. & Pečarić, J. On an Inequality for the Entropy of a Probability Distribution. Acta Mathematica Hungarica 85, 345–349 (1999). https://doi.org/10.1023/A:1006711805568

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  • DOI: https://doi.org/10.1023/A:1006711805568

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