Geometric interpretation of S-convex function on ℝ

This paper discusses the s-convex function, an extension of the convex function. In more detail, it will be shown the geometric interpretation of the s-convex function and the necessary and sufficient conditions for the s-convex function to reach its maximum or minimum value (optimal). The supporting theorems have been obtained when finding the geometric interpretation of the s-convex function. As for achieving the optimal value of the s-convex function, using an optimization process based on the geometric interpretation obtained.