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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Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
https://orcid.org/0000-0003-4869-5529
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