Some inequalities for means defined on the lorentz cone

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2 Citations (Scopus)


In this paper, we define various means associated with Lorentz cones (also known as second-order cones), which are new concepts and natural extensions of traditional arithmetic mean, harmonic mean, and geometric mean, logarithmic mean. Based on these means defined on the Lorentz cone, some inequalities and trace inequalities are established.

Original languageEnglish
Pages (from-to)1015-1028
Number of pages14
JournalMathematical Inequalities and Applications
Issue number4
Publication statusPublished - 2018 Oct


  • Lorentz cone
  • Mean
  • SOC-convex
  • SOC-monotone.
  • Second-order cone
  • Trace

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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