Open AccessProbabilistic characterization of strong convexity
Author(s) -
Teresa Rajba,
Szymon Wąsowicz
Publication year - 2011
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2011.31.1.97
Subject(s) - convexity , mathematics , characterization (materials science) , probabilistic logic , statistics , mathematical economics , combinatorics , economics , materials science , financial economics , nanotechnology
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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