Least deviation decomposition with respect to a pair of convex sets.
Lipschitz sums of convex functions
We give a geometric characterization of the convex subsets of a Banach space with the property that for any two convex continuous functions on this set, if their sum is Lipschitz, then the functions must be Lipschitz. We apply this result to the theory of Δ-convex functions.
Logarithmic functional mean in convex analysis.