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Answer by acr for Integrals of compactly supported functions of positive type
I asked a (near-) duplicate of this question on mathoverflow, where it was answered; indeed, it turns out that the triangle is optimal. The proof of this is a simple and very pretty application of the...
View ArticleIntegrals of compactly supported functions of positive type
Consider a continuous function $f: \mathbb{R} \rightarrow \mathbb{R}$, supported on $[-1,1]$, of positive type. Assume $f(0) = 1$; what is the "largest" area $\int f\,dx$ that can be achieved?To be...
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