WEIGHTED HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR DOUBLE INTEGRALS

Hüseyin BUDAK, Fatma Ertuğral, Mehmet Zeki SARIKAYA

Abstract


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.

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