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Some integral inequalities for convex stochastic processes. (English) Zbl 1349.26067

The aim of this paper is to extend the classical Hermite-Hadamard-type and Jensen inequalities to convex stochastic processes.

MSC:

26D15 Inequalities for sums, series and integrals
26A51 Convexity of real functions in one variable, generalizations
33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)
52A40 Inequalities and extremum problems involving convexity in convex geometry
52A41 Convex functions and convex programs in convex geometry