Abstract
In this note, we generalize some operator inequalities due to Lin [J. Math. Anal. Appl. 2013;402:127–132] and [Studia Math. 2013;215:187–194] as follows: Let and
be positive operators on a Hilbert space with
Then for
and every positive unital linear map
Acknowledgements
We are grateful to Dr. Limin Zou for his fruitful discussions. This research was supported by the key project of the applied mathematics of Hainan Normal University.