Some inequalities of the Edmundson-Lah-Ribaric type for 3-convex functions with applications
In this paper we derive some Edmundson-Lah-Ribarič type inequalities for positive linear functionals and 3-convex functions. Main results are applied to the generalized f-divergence functional. Examples with Zipf Mandelbrot law are used to illustrate the results. In addition, obtained results are utilized in constructing some families of exponentially convex functions and Stolarsky-type means.
math.GM↗