Some generalised integral inequalities for bidimensional preinvex stochastic processes

Abstract

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