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Results tagged with functional-equations
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user 160986
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Finding minimal $\gamma$ that satisfies the integral equation
I have a function $f(z) \in [0,\infty]$ that satisfies $-1 < f(z) < 0$.
I would like to find the minimal $\gamma$ that satisfies:
$$ \int_0^{\gamma} f(z)dz = \log(1+f(0)).$$
Clearly, I cannot bound su …
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