Some generalised integral inequalities for bidimensional preinvex stochastic processes

Abstract

In this study, we generalize some integral inequalities for bidimensional preinvex stochastic processes. The main results consist of two parts. In the first part, we obtain a generalization of H-H type integral inequality for bidimensional preinvex stochastic processes. In the second part, we derive a generalization of Ostrowski type integral inequality for bidimensional preinvex stochastic processes. For this reason, we use mean-square integrable preinvex stochastic processes and verify generalization of H-H type integral inequality and Ostrowski type integral inequality for preinvex stochastic processes on the real, respectively.