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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

2 votes
1 answer
186 views

Optimal function existence? what is it?

It's a problem abstracted from a real engineering project. I want to find the best curve $y=y(x)$, $x \in [0,1]$: $y$ doesn't have to be a continuous function. The constraint is $$ L=\int_{0}^{1} \fr …