Speaker
Rozarija Mikić
(Faculty of Civil Engineering, University of Rijeka)
Description
We study 3-convex functions, which are characterized by the third order divided differences, and for them we derive a class of inequalities of the Jensen and Edmundson-Lah-Ribarič type involving positive linear functionals that does not require convexity in the classical sense. A
great number of theoretic divergences, i.e. measures of distance between two probability distributions, are special cases of Csiszár f-divergence for different choices of the generating function f. We apply our results to the generalized f-divergence functional in order to obtain some lower and upper bounds.
