Mathematica Eterna
Open Access

Abstract

Remarks on Jensen, Hermite-Hadamard and Fejer inequalities for strongly convex stochastic processes.

Dawid Kotrys

Discrete Jensen inequality for strongly midconvex stochastic processes and integral Jensen inequality for strongly convex stochastic processes are proved. Fejer inequality and the converse of Hermite–Hadamard theorem for strongly convex stochastic processes are presented.