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Some Inequalities in Information Theory Using Tsallis Entropy

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  • Litegebe Wondie
  • Satish Kumar

Abstract

We present a relation between Tsallis’s entropy and generalized Kerridge inaccuracy which is called generalized Shannon inequality and is well-known generalization in information theory and then give its application in coding theory. The objective of the paper is to establish a result on noiseless coding theorem for the proposed mean code length in terms of generalized information measure of order .

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:2861612
    DOI: 10.1155/2018/2861612
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    References listed on IDEAS

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    1. Satish Kumar & Gurdas Ram & Vishal Gupta, 2012. "Some Coding Theorems for Nonadditive Generalized Mean-Value Entropies," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-10, February.
    2. 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.
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