Inequalities of the Jensen and Edmundson–Lah–RibariČ type for positive linear functionals with applications

In this paper we derive some Jensen and Edmundson–Lah– Ribarič type inequalities for positive linear functionals without the assumption about the convexity of the functions that are involved. General results are then applied to generalized f-divergence functional. Examples with Zipf’s law and Zipf–Mandelbrot law are given. © 2018 Independent University of Moscow.