Inequalities of Ando's Type for $n$-convex Functions

Authors

  • Rozarija Mikic University of Zagreb, Faculty of Textile Technology, 10000 Zagreb, Croatia.
Abstract:

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-Ribariv c 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.

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Journal title

volume 17  issue 2

pages  139- 159

publication date 2020-06-01

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