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 language | English |
|---|---|
| Pages (from-to) | 1015-1028 |
| Number of pages | 14 |
| Journal | Mathematical Inequalities and Applications |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2018 Oct |
Keywords
- Lorentz cone
- Mean
- SOC-convex
- SOC-monotone.
- Second-order cone
- Trace
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics