# Improved Heinz inequalities via the Jensen functional

Open Mathematics (2013)

- Volume: 11, Issue: 9, page 1698-1710
- ISSN: 2391-5455

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topMario Krnić, and Josip Pečarić. "Improved Heinz inequalities via the Jensen functional." Open Mathematics 11.9 (2013): 1698-1710. <http://eudml.org/doc/269202>.

@article{MarioKrnić2013,

abstract = {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.},

author = {Mario Krnić, Josip Pečarić},

journal = {Open Mathematics},

keywords = {Heinz mean; Heinz norm inequalities; Heinz operator inequalities; Jensen functional; Monotonicity; Convex function; Unitarily invariant norm; Refinement; monotonicity; convex function; unitarily invariant norm; refinement},

language = {eng},

number = {9},

pages = {1698-1710},

title = {Improved Heinz inequalities via the Jensen functional},

url = {http://eudml.org/doc/269202},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Mario Krnić

AU - Josip Pečarić

TI - Improved Heinz inequalities via the Jensen functional

JO - Open Mathematics

PY - 2013

VL - 11

IS - 9

SP - 1698

EP - 1710

AB - 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.

LA - eng

KW - Heinz mean; Heinz norm inequalities; Heinz operator inequalities; Jensen functional; Monotonicity; Convex function; Unitarily invariant norm; Refinement; monotonicity; convex function; unitarily invariant norm; refinement

UR - http://eudml.org/doc/269202

ER -

## References

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