WEIGHTED HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR DOUBLE INTEGRALS

In this paper, we first obtain two weighted identities for twice partially differentiablemappings. Moreover, utilizing these equalities, we establish the weighted Herrmite-Hadamard typeinequalities and weighted Simpson type inequalities for co-ordinated convex functions in a rectanglefrom the plane R2, respectivelly. The results given in this paper provide generalizations of someresult established in earlier works.