Some Hermite-Hadamard Type Inequalities with the Aid of Newly Defined Double Post-Quantum Integrals

Abstract

In the present paper, we first give four post-quantum integrals for functions of two variables, denoted by $_{ac}T_{p,q},$ $^d_ aT_{p,q},$ $^b_cT_{p,q}$ and $^{bd}T_{p,q}.$ Afterwards, each of these newly defined integrals is illustrated. Moreover, some new Hermite-Hadamard inequalities are established based on these definitions. We also show the correctness of these inequalities with the aid of some numerical examples.