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arXiv · 1709.09813

Norm inequalities related to the Heron and Heinz means

Y. Kapil·C. Conde·M. S. Moslehian·M. Singh·M. Sababheh
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Abstract

In this article, we present several inequalities treating operator means and the Cauchy-Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the Heinz means and further refinements of the Cauchy-Schwarz inequality. The techniques used to accomplish these results include convexity and L\"{o}wner matrices.

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Y. Kapil, C. Conde, M. S. Moslehian, M. Singh, M. Sababheh. 2017-09-28. Norm inequalities related to the Heron and Heinz means. https://doi.org/10.1007/s00009-017-1015-6

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