TY  - JOUR
ID  - Rajba2011
LB  - Rajba2011
AU  - Rajba, Teresa
AU  - Wąsowicz, Szymon
TI  - Probabilistic characterization of strong convexity
ST  - Probabilistic characterization of strong convexity
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 1
SP  - 97
EP  - 103
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.1.97
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.1.97
AB  - 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.
KW  - convexity
KW  - strong convexity
KW  - Jensen's inequality
KW  - Jensen gap of a function
KW  - distribution of a random variable
KW  - variance
SN  - 1232-9274
ER  -