Reverses of Young and Heinz inequalities for positive linear operators
Abstract Let A, B be invertible positive operators on a Hilbert space H. We present some improved reverses of Young type inequalities, in particular, ( 1 − ν ) 2 ν ( A ∇ B ) + ( 1 − ν ) 2 ( 1 − ν ) H 2 ν ( A , B ) ≥ 2 ( 1 − ν ) ( A ♯ B ) $$ (1-\nu)^{2\nu}(A\nabla B)+(1-\nu)^{2(1-\nu)}H_{2\nu}(A,B) \...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-0967-6 |