The word convex means curving out or bulging outward. Convex or convexity may refer to: Mathematics: Convex set, a set of points containing all line segments between each pair of its points Convex function, a function with the epigraph (the set of points lying on or above the graph) forming a convex set Convex polytope, a polytope which forms a convex set. These include convex polygons. Convex hull, the minimal convex set containing a set of points X Convex combination, a linear combinatio… (More on Convexity)