engleski

Refined Heinz operator inequalities

Motivated by the well-known Heinz norm inequalities, in this paper 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 parameterized family of the so-called Heron means. In such a way, we obtain improvements of some recent results, known from the literature.

Heinz mean; Heinz operator inequalities; convexity; Hermite-Hadamard inequality; logarithmic mean; Heron mean; refinement

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