Reverses of Young Type Inequalities for Matrices Using the Classical Kantorovich Constant
- 58 Downloads
In this article, we give some reverses of Young type inequalities which were established by Burqan and Khandaqji (J Math Inequal 9:113–120, 2015) applying the Kantorovich constant. As an application of these numerical versions, we study some matrix inequalities for the Hilbert–Schmidt norm and the trace norm.
KeywordsHilbert–Schmidt norm reverse Young type inequality classical Kantorovich constant matrix inequalities
Mathematics Subject Classification47A30 15A45 15A60
The authors would like to thank the handling editor and referees for giving valuable comments and suggestions to improve our manuscript. L. Nasiri (the corresponding author) and M. Shakoori would like to thank the Lorestan University.
- 22.Nasiri, L., Bakherad, M.: Improvements of some operator inequalities involving positive linear maps via the Kantorovich constant. Houston J. Math. (to appear)Google Scholar
- 24.Wu, J.L., Zhao, J.G.: Operator inequalities and reverse inequalities related to the Kittaneh–Manasrah inequalities. Linear Multilinear Algebra. https://doi.org/10.1080/03081087.2013.794235