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Opuscula Mathematica 2011
Probabilistic characterization of strong convexityKeywords: convexity , strong convexity , Jensen's inequality , Jensen gap of a function , distribution of a random variable , variance 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.
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