arXiv Analytics

Sign in

arXiv:1709.09813 [math.FA]AbstractReferencesReviewsResources

Norm inequalities related to the Heron and Heinz means

Y. Kapil, C. Conde, M. S. Moslehian, M. Singh, M. Sababheh

Published 2017-09-28Version 1

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.

Comments: 15 pages, Mediterr. J. Math.(to appear)
Categories: math.FA, math.NT
Subjects: 47A30, 47A63, 47A64, 15A60
Related articles: Most relevant | Search more
arXiv:1903.10358 [math.FA] (Published 2019-03-25)
On Norm Inequalities and Orthogonality of Commutators of Derivations
arXiv:1710.08497 [math.FA] (Published 2017-10-23)
Quadratic interpolation of the Heinz means
arXiv:2105.03825 [math.FA] (Published 2021-05-09)
Norm inequalities related to Heinz and Heron operator means

Links

Toolbox