Quadratic refinements of matrix means
DOI:
https://doi.org/10.24193/subbmath.2017.4.01Keywords:
Positive matrices, matrix means, norm inequalities, Young’s inequality.Abstract
The main target of this article is to present refinements of the matrix arithmetic-geometric mean inequality. The main difference between these refinements and the ones in the literature is the quadratic behavior of the refining terms. These refinements include the L¨oewner partial ordering, determinants, trace and unitarily invariant norms refinements.
Mathematics Subject Classification (2010): 15A39, 15B48, 47A30, 47A63.
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