Improved Young and Heinz inequalities for matrices

We give refinements of the classical Young inequality for positive real numbers and we use these refinements to establish improved Young and Heinz inequalities for matrices.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2010, Vol.361 (1), p.262-269
Main Authors: Kittaneh, Fuad, Manasrah, Yousef
Format: Article
Language:English
Subjects:
Exact sciences and technology
Heinz inequality
Mathematical analysis
Mathematics
Positive semidefinite matrix
Sciences and techniques of general use
Unitarily invariant norm
Young inequality
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Description
Summary:We give refinements of the classical Young inequality for positive real numbers and we use these refinements to establish improved Young and Heinz inequalities for matrices.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2009.08.059