For example, I know that 4x^2 + 9y^2 + 12xy is convex, but how do I show that it is not strictly convex
2026-03-25 12:52:53.1774443173
How to tell a function is convex but not strictly convex?
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Hint: $\;f(x,y)=4x^2 + 9y^2 + 12xy = (2x+3y)^2\,$ is constant along the lines $\,2x+3y=c\,$.