Honam Mathematical Journal (호남수학학술지)

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AN EXTENSION OF JENSEN-MERCER INEQUALITY WITH APPLICATIONS TO ENTROPY

  • Yamin, Sayyari (Department of Mathematics, Sirjan University Of Technology)
  • Received : 2021.12.11
  • Accepted : 2022.07.28
  • Published : 2022.12.25
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Abstract

The Jensen and Mercer inequalities are very important inequalities in information theory. The article provides the generalization of Mercer's inequality for convex functions on the line segments. This result contains Mercer's inequality as a particular case. Also, we investigate bounds for Shannon's entropy and give some new applications in zeta function and analysis.

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References

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