The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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A REFINEMENT OF THE JENSEN-SIMIC-MERCER INEQUALITY WITH APPLICATIONS TO ENTROPY

  • Sayyari, Yamin (Department of Mathematics, Sirjan University Of Technology)
  • Received : 2021.07.27
  • Accepted : 2022.01.06
  • Published : 2022.02.28
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Abstract

The Jensen, Simic and Mercer inequalities are very important inequalities in theory of inequalities and some results are devoted to this inequalities. In this paper, firstly, we establish extension of Jensen-Simic-Mercer inequality. After that, we investigate bounds for Shannons entropy of a probability distribution. Finally, We give some new applications in analysis.

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References

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