By virtue of convexity of Heinz means, in this paper we derive several refinements of Heinz norm inequalities with the help of the Jensen functional and its properties. In addition, we discuss another approach to Heinz operator means which is more convenient for obtaining the corresponding operator inequalities for positive invertible operators.
@article{bwmeta1.element.doi-10_2478_s11533-013-0270-4,
author = {Mario Krni\'c and Josip Pe\v cari\'c},
title = {Improved Heinz inequalities via the Jensen functional},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1698-1710},
zbl = {1295.47006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0270-4}
}
Mario Krnić; Josip Pečarić. Improved Heinz inequalities via the Jensen functional. Open Mathematics, Tome 11 (2013) pp. 1698-1710. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0270-4/
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