Advances in Difference Equations (2020-03-01)

Shannon type inequalities via time scales theory

  • Iqrar Ansari,
  • Khuram Ali Khan,
  • Ammara Nosheen,
  • Ðilda Pečarić,
  • Josip Pečarić

DOI
https://doi.org/10.1186/s13662-020-02587-z
Journal volume & issue
Vol. 2020, no. 1
pp. 1 – 14

Abstract

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Abstract The aim of present paper is to obtain Shannon type inequalities using the extended version of Jensen’s inequality in time scales settings. The concept of differential entropy of a continuous random variable on time scales is introduced, and its bounds for some particular distributions are also estimated.

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