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We introduce two kinds of generalizeds-convex functions on real linear fractal setsRα (0<α<1). And similar to the class situation, we also study the properties of these two kinds of generalizeds-convex functions and discuss the relationship between them. Furthermore, some applications are given.doi:10.1155/2014/254737 fatcat:6lhoyq5da5ggnkjse7pxtlzio4