In this paper we introduce several classes of generalized convex functions already discussed in the literature and show the relation between those function classes. Moreover, for some of those function classes a Farkas-type theorem is proved. As such this paper unifies and extends results existing in the literature and shows how these results can be used to verify Farkas-type theorems and strong Lagrangian duality results in finite dimensional optimization.

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Econometric Institute Research Papers
Erasmus School of Economics

Frenk, H., & Kassay, G. (1997). On Classes of Generalized Convex Functions, Farkas-Type Theorems and Lagrangian Duality (No. EI 9742/A). Econometric Institute Research Papers. Retrieved from