Jensen-type inequalities on time scales for n-convex functions

In this paper, the authors establish some lower and upper bounds for the difference in the Edmundson-Lah-Ribarič inequality in time scales calculus that holds for the class of n-convex functions by utilizing some scalar inequalities obtained via Hermite's interpolating polynomial. In addition, the authors also establish different lower and upper bounds for the difference in the Jensen inequality as a byproduct from the results of the Edmundson-Lah-Ribarič inequality. The main results are applied to obtain new converse inequalities for generalized means and power means in the time scale settings.