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Feb 6, 2018 at 17:21 vote accept yon
Feb 5, 2018 at 21:08 comment added Benoît Kloeckner I don't have an answer, but if you have some room here you might want to replace the cubical mesh by a mesh with simplexes. Then the function that matches $f$ on vertices and is affine on each simplex is $1$-Lipschitz, and not too far from $f$.
Feb 5, 2018 at 20:55 answer added Nik Weaver timeline score: 1
Feb 5, 2018 at 17:10 history edited yon CC BY-SA 3.0
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Feb 5, 2018 at 16:59 history asked yon CC BY-SA 3.0