%0 Journal Article
%T Probabilistic characterization of strong convexity
%A Teresa Rajba
%A Szymon W£¿sowicz
%J Opuscula Mathematica
%D 2011
%I AGH University of Science and Technology
%X Strong convexity is considered for real functions defined on a real interval. Probabilistic characterization is given and its geometrical sense is explained. Using this characterization some inequalities of Jensen-type are obtained.
%K convexity
%K strong convexity
%K Jensen's inequality
%K Jensen gap of a function
%K distribution of a random variable
%K variance
%U http://www.opuscula.agh.edu.pl/vol31/1/art/opuscula_math_3107.pdf