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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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Inequality concerning integral w.r.t. Hölder functions [closed]

I didn't get any reaction on that question on Math.stackexchange. So I hope to get a hint from the experts. I have to prove the following inequality. Let $\nu$ be a function on $[0,1]$ with one …
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