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Inequalities of Ando's Type for n-convex Functions

By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribaric inequality for solidarities that hold for a class of n-convex functions. As an application, main results are applied to some operator means and relative operator entropy.

Solidarities ; Ando's inequality ; Edmundson-Lah-Ribaric inequality ; n-convex functions ; Operator means

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