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Dec 3, 2012 at 21:22 answer added Banach timeline score: 1
Nov 21, 2012 at 14:41 comment added Tom Kempton hi fedja, yes f is continuous, I've edited to include this. By 'convex but not strictly convex' I mean that, for $x,y \in [0,1/2]$, f(tx+(1−t)y)≤tf(x)+(1−t)f(y) for each t∈(0,1), but the inequality can't be made strict. The same holds for $x,y$ in [1/2,1].
Nov 21, 2012 at 14:38 history edited Tom Kempton CC BY-SA 3.0
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Nov 21, 2012 at 14:24 comment added fedja What exactly do you mean by (4)? Is $f$ continuous at least?
Nov 21, 2012 at 14:06 history asked Tom Kempton CC BY-SA 3.0