Probabilistic characterization of strong convexity
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Publication:3101930
DOI10.7494/OpMath.2011.31.1.97zbMath1234.26031MaRDI QIDQ3101930
Publication date: 1 December 2011
Published in: Opuscula Mathematica (Search for Journal in Brave)
convexityJensen's inequalityvariancestrong convexityJensen gap of a functiondistribution of a random variable
Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)
Related Items (13)
Characterizations and decomposition of strongly Wright-convex functions of higher order ⋮ Converse Jensen inequality for strongly convex set-valued maps ⋮ On the converse Jensen inequality for strongly convex functions ⋮ Converse Ohlin's lemma for convex and strongly convex functions ⋮ On the Jensen functional and strong convexity ⋮ On the integral representation and the Raşa, Jensen and Hermite-Hadamard inequalities for box-convex functions ⋮ Strongly convex set-valued maps ⋮ Functions generating \((m,M,\Psi)\)-Schur-convex sums ⋮ Jensen's and Hermite-Hadamard's type inequalities for lower and strongly convex functions on normed spaces ⋮ Ohlin and Levin-Stečkin-type results for strongly convex functions ⋮ On Strongly Convex Functions and Related Classes of Functions ⋮ A discrete probability distribution and some applications ⋮ Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions
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