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

Abstract

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.

Keywords

• hadamard-type inequality
• co-ordinates
• (m，n)−polynomial convex functions