Inequalities of the Jensen and Edmundson-Lah-Ribarič type for 3-convex functions with applications

In this paper we derive some Jensen and Edmundson-Lah-Ribarič type inequalities for positive linear functionals and 3-convex functions. Obtained results are then applied to generalized means and power means, as well as to the generalized f -divergence functional. Examples with Zipf-Mandelbrot law are given. © Element, Zagreb.