On a Separation Theorem for Delta-Convex Functions

Abstract

In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz cone. An application to a stability problem for delta-convexity is also given.

Keywords

• convex functins
• delta-convex function
• lorentz cone
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