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Oct 4, 2021 at 22:33 vote accept Norman
Sep 21, 2021 at 7:47 comment added Dirk It's more like "the smoother f, the more coercive is f*", somehow. What is true, is that an f with L-Lipschitz gradient has a conjugate that is L-strongly convex (and this, coercive). So, for example $x\mapsto \|x\|^2/2$ is its own conjugate and both smooth and coercive.
Sep 21, 2021 at 4:09 comment added Norman Do you know if there are any condition when these properties conjugate?
Sep 16, 2021 at 5:27 history answered Dirk CC BY-SA 4.0