@Article{Rajba2011,
author = "Rajba, Teresa and Wąsowicz, Szymon",
title = "Probabilistic characterization of strong convexity",
journal = "Opuscula Math.",
year = "2011",
volume = "31",
number = "1",
pages = "97--103",
doi = "http://dx.doi.org/10.7494/OpMath.2011.31.1.97",
url = "http://dx.doi.org/10.7494/OpMath.2011.31.1.97",
abstract = "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.",
keywords = "convexity, strong convexity, Jensen's inequality, Jensen gap of a function, distribution of a random variable, variance",
issn = "1232-9274"
}