Suppose $f(x,y)$ is (jointly) convex in $(x,y)$ and strictly convex in each argument separately. Is it necessarily true that $f$ is jointly strictly convex? Here, $x,y$ live in some real vector spaces.
2026-04-05 07:52:04.1775375524
Jointly strictly convex vs. marginally strictly convex
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No. Consider $$ f(x,y) = (x-y)^2. $$