Given x 0 , a point of a convex subset C of a Euclidean space, the two following statements are proven to be equivalent: (i) every convex function f : C → ℝ is upper semi-continuous at x 0 , and (ii) ...
This is a preview. Log in through your library . Abstract The goal of this paper is to introduce the approximated convex envelope of a function and to estimate how it differs from its convex envelope.
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