Some new integral inequalities for a general variant of polynomial convex functions

In this study, the concept of (m, n)-polynomial (p(1), p(2))-convex functions on the co-ordinates has been established with some basic properties. Dependent on this new concept, a new Hermite-Hadamard type inequality has been proved, then some new integral inequalities have been obtained for partial differentiable (m, n)-polynomial (p(1), p(2))-convex functions on the co-ordinates. Several special cases that some of them proved in earlier works have been considered.