YOUNG TYPE INEQUALITIES AND REVERSES FOR MATRICES

Authors

  • M. H. M. Rashid Department of Mathematics, Faculty of Science, P.O.Box (7), Mu'tah university, Al-Karak, Jordan Author

Keywords:

Heinz mean inequalities, positive semidefinite matrices, Hilbert-Schmidt norm, Young inequality

Subjects:

26D07, 26D15, 15A18, 47A63

Abstract

In this paper, we give some Young type inequalities for scalars. Byusing these inequalities we establish corresponding Young type inequalities for matrices.In addition, we present some reverses of the Young type inequalities andgive several refinements for matrices.

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Published

2022-07-15

Issue

Vol. 74 No. 3 (2022): Vol. 74, Issue 3

Section

Articles

License

Copyright (c) 2022 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.