Generalizations of convex functions have been used in a variety of fields such as economics. business administration. engineering. statistics and applied sciences.. In 1949 de Finetti introduced one of the fundamental of generalized convex functions characterized by convex level sets which are now known as quasiconvex functions. Since then numerous types of generalized convex functions have been defined in accordance with the need of particular applications.. In each case such functions preserve soine of the valuable properties of a convex function. In addition to generalized convex functions...