Research Article
Open Access
A Note on Improved Young Type Inequalities with Kantorovich Constant
- 1 Lorestan University, Iran
Abstract
In this article, we first present some improved Young type inequalities for scalars, then according to these inequalities we give the Hilbert-Schmidt norm and the trace norm versions.
Journal of Mathematics and Statistics
Volume 12 No. 3, 2016, 201-205 DOI: https://doi.org/10.3844/jmssp.2016.201.205
Copyright: © 2016 Leila Nasiri and Mahmood Shakoori. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Young Type Inequalities
- Hilbert-Schmidt Norm
- Positive Semidefinite Matrices
- Singular Values
- Refinement