Refined Heinz operator inequalities |
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| Authors: | Fuad Kittaneh Mario Krnić |
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| Affiliation: | 1. Department of Mathematics , University of Jordan , Amman , Jordan fkitt@ju.edu.jo;3. Faculty of Electrical Engineering and Computing , University of Zagreb , Unska 3, 10000 Zagreb , Croatia |
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| Abstract: | Motivated by the well-known Heinz norm inequalities, in this article we study the corresponding Heinz operator inequalities. We derive the whole series of refinements of these operator inequalities, first with the help of the well-known Hermite–Hadamard inequality, and then, utilizing the parametrized family of the so-called Heron means. In such a way, we obtain improvements of some recent results, known from the literature. |
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| Keywords: | Heinz mean Heinz operator inequalities convexity Hermite–Hadamard inequality logarithmic mean Heron mean refinement |
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