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A Joint Representation of Rényi’s and Tsalli’s Entropy with Application in Coding Theory

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  • Litegebe Wondie
  • Satish Kumar

Abstract

We introduce a quantity which is called Rényi’s-Tsalli’s entropy of order and discussed some of its major properties with Shannon and other entropies in the literature. Further, we give its application in coding theory and a coding theorem analogous to the ordinary coding theorem for a noiseless channel is proved. The theorem states that the proposed entropy is the lower bound of mean code word length.

Suggested Citation

  • Litegebe Wondie & Satish Kumar, 2017. "A Joint Representation of Rényi’s and Tsalli’s Entropy with Application in Coding Theory," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2017, pages 1-5, October.
    • Handle: RePEc:hin:jijmms:2683293
    DOI: 10.1155/2017/2683293
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    Cited by:

    1. Litegebe Wondie & Satish Kumar, 2018. "Some Inequalities in Information Theory Using Tsallis Entropy," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-4, April.

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