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Original Articles

Refinements of the Heinz operator inequalities

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Pages 1337-1344 | Received 15 Feb 2014, Accepted 27 May 2014, Published online: 08 Jul 2014
 

Abstract

In this article, we study the Heinz inequalities for two positive operators. We refine the ordering relations among the Heinz means with different parameters and obtain some improvements of the Heinz operator inequalities.

AMS Subject Classifications:

Acknowledgements

The authors would like to thank the referee very much for his/her helpful suggestions.

Additional information

Funding

The work was supported partly by the NSF of China [grant number 11171210].

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