Hermite-hadamard type integral inequalities for nonconvex functions

The convexity is used in the geometry, calculus, linear algebra, and topology, moreover, it plays an important role in the number theory, classical extremum problems, linear programming, game theory and inequalities theory. In the last century, many convex function types more generally than the classical convexity definition were introduced. One of which is the -convex functions which were introduced by Noor in 2006. Noor have applications of this functions in the optimization, variational inequalities, and equlibrium problems. In this study, we will create midpoint and trapezoid inequlities in type of Hermite Hadamard inequality.