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Results tagged with convexity
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user 153260
For questions involving the concept of convexity
4
votes
Integral means vs infinite convex combinations
I don't think so. Consider the functions $f(x,y)=e^{ixy}, -1<x<1, y\in \mathbb{R}$. Then,
$$ \int_{-1}^1 f(x,y) \frac{dx}{2} = \frac{\sin(y)}{y}. $$
The question is if this is representable as
$$ \su …
