Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes

Abstract

In this paper, we introduce the notions of q-mean square integral for stochastic processes and co-ordinated stochastic processes. Furthermore, we establish some new quantum Hermite-Hadamard type inequalities for convex stochastic processes and co-ordinated stochastic processes via newly defined integrals. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q,q1,q2→1− in the newly obtained results.

Keywords

• hermite-hadamard inequality
• jensen inequality
• convex stochastic processes