Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SCHUR CONVEXITY OF L-CONJUGATE MEANS AND ITS APPLICATIONS

  • Chun-Ru Fu (Applied college of science and technology Beijing Union University) ;
  • Huan-Nan Shi (Teacher's College Beijing Union University) ;
  • Dong-Sheng Wang (Basic courses department Beijing Polytechnic)
  • Received : 2022.01.24
  • Accepted : 2023.01.26
  • Published : 2023.05.01
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Abstract

In this paper, using the theory of majorization, we discuss the Schur m power convexity for L-conjugate means of n variables and the Schur convexity for weighted L-conjugate means of n variables. As applications, we get several inequalities of general mean satisfying Schur convexity, and a few comparative inequalities about n variables Gini mean are established.

Keywords

Acknowledgement

The authors would like to thank the anonymous referees for critical comments and suggestions that definitely led to improvements of the original manuscript.

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