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S Aug 13, 2018 at 19:19 history suggested Rodrigo de Azevedo
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Aug 13, 2018 at 19:07 comment added Dirk @PietroMajer Doh, you're right, of course.
Aug 13, 2018 at 19:05 comment added Pietro Majer @Dirk taking the convex hull produces piece-wise affine functions, each with finitely many pieces, though with possibly any number of pieces.
Aug 13, 2018 at 18:33 review Suggested edits
S Aug 13, 2018 at 19:19
Aug 13, 2018 at 17:51 comment added Dirk Err, that's quite a different problem now... Anyway, I still think that the convex hull makes the $K$ superfluous.
Aug 13, 2018 at 17:49 comment added O. Richard @Dirk I modified the problem statement a bit. Thanks for clarifying
Aug 13, 2018 at 17:48 history edited O. Richard CC BY-SA 4.0
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Aug 13, 2018 at 17:42 comment added Dirk But taking the convex hull should allow at least countably many kinks. Or are these $a_k$'s and $b_k$'s fixed?
Aug 13, 2018 at 17:40 review Close votes
Aug 19, 2018 at 12:09
Aug 13, 2018 at 17:33 comment added O. Richard @Dirk Is it obvious? Here the number of pieces is fixed.
Aug 13, 2018 at 17:32 comment added O. Richard @PietroMajer Why is $\mathcal{F}$ convex? The number of pieces is fixed as $K$.
Aug 13, 2018 at 17:31 history edited O. Richard CC BY-SA 4.0
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Aug 13, 2018 at 16:57 comment added Dirk Isn't the convex hull of $\mathcal{F}$ the set of all convex functions?
Aug 13, 2018 at 16:28 comment added Pietro Majer Since $\mathcal{F}$ is a convex cone, the convex hull is the same set as $\mathcal{F}-\mathcal{F}$
Aug 13, 2018 at 15:17 history asked O. Richard CC BY-SA 4.0