Some inequalities for means defined on the lorentz cone

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume21
Issue number4
DOIs
Publication statusPublished - 2018 Oct 1

Fingerprint

Cones
Cone
Logarithmic Mean
Trace Inequality
Second-order Cone
Harmonic mean
Geometric mean
Natural Extension
Concepts

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Some inequalities for means defined on the lorentz cone. / Chang, Yu Lin; Huang, Chien Hao; Chen, Jein Shan; Hu, Chu Chin.

In: Mathematical Inequalities and Applications, Vol. 21, No. 4, 01.10.2018, p. 1015-1028.

Research output: Contribution to journalArticle

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