Tracial and majorisation Heinz mean-type inequalities for matrices
Abstract The Heinz mean for every nonnegative real numbers a, b and every 0 ≤ ν ≤ 1 $0\le\nu\le1$ is H ν ( a , b ) = a ν b 1 − ν + a 1 − ν b ν 2 $H_{\nu}(a , b)=\frac{a^{\nu}b^{1-\nu} +a^{1-\nu}b^{\nu}}{2}$ . In this paper we present tracial Heinz mean-type inequalities for positive definite matrice...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-01-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-0965-8 |