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Shannon Type Inequalities for Kapur’s Entropy

Author

Listed:
  • Bo-Yan Xi

    (College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China)

  • Dan-Dan Gao

    (College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China)

  • Tao Zhang

    (School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China)

  • Bai-Ni Guo

    (School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China)

  • Feng Qi

    (School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China)

Abstract

In the paper, by methods of the theory of majorization, the authors establish the Schur m -convexity and Shannon type inequalities for Kapur’s entropy.

Suggested Citation

  • Bo-Yan Xi & Dan-Dan Gao & Tao Zhang & Bai-Ni Guo & Feng Qi, 2018. "Shannon Type Inequalities for Kapur’s Entropy," Mathematics, MDPI, vol. 7(1), pages 1-8, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2018:i:1:p:22-:d:193260
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