Abstract
In this study, we have introduced a new concept called (m, n)-harmonically polynomial convex functions on the co-ordinates. Then, we have demonstrated some properties of this definition. Based on the definition and some elementary analysis process, we have proved a new Hadamard type integral inequality on the coordinates for (m, n)-harmonically polynomial convex functions. Finally, we have established Hadamard type inequality for differentiable (m, n)-Harmonically polynomial convex functions. We have also given some special cases for bounded functions.