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Authors: MOHAMMAD SABABHEH.
DOI: 10.24193/subbmath.2017.4.01
Published Online: 2017-12-03
Published Print: 2017-12-03
pp. 413-426
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The main target of this article is to present renements of the matrix arithmetic-geometric mean inequality. The main difference between these rerefinements and the ones in the literature is the quadratic behavior of the refining terms. These refinements include the Loewner partial ordering, determinants, trace and unitarily invariant norms refinements
Mathematics Subject Classification (2010): 15A39, 15B48, 47A30, 47A63.
Keywords: Positive matrices, matrix means, norm inequalities, Young’s inequality.
