Abstract
We demonstrate that several well-known classical inequalities also hold for some positive linear maps on matrix algebra. It is shown that for such maps the Jensen inequality hold for all ordinary convex functions.
Original language | English (US) |
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Pages (from-to) | 843-854 |
Number of pages | 12 |
Journal | Operators and Matrices |
Volume | 13 |
Issue number | 3 |
DOIs | |
State | Published - 2019 |
Keywords
- Convex function
- Eigenvalues
- Jensen’s inequality
- Schwarz’s inequality
- Unital positive linear maps
- Čebyšev’s inequality
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory