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-Ribarič inequality for solidarities that hold for a class of nconvex functions. As an application, main results are applied to some operator means and relative operator entropy. © Sahand Communications in Mathematical Analysis 2020. All rights reserved.