On new generalization of Fejer type inequalities for double integrals

In this article, we first establish weighted identities based on twice partially differentiable mappings. Moreover, utilizing this equality, we derive  the weighted Hermite-Hadamard type inequalities via co-ordinated convex mappings in a rectangle from the plane \mathbb{R}^{۲}. More specifically, we establish new inequalities using the Holder and power-mean inequalities. In addition, we obtain new results with special choices.

Keywords:

Fejer inequality , co-ordinated convex functions , Integral inequalities , Trapezoid Inequality