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for questions involving inequalities, upper and lower bounds.
0
votes
Bound the operator norm of the Fréchet derivative of a Lipschitz function in this setting
The fact that the authors of https://arxiv.org/pdf/math/0602479.pdf refer to using "representation (4) for the distance" makes me think that the estimate you want is supposed to come from something al …
2
votes
About one integral inequality
Take $N=1$, $T=1$, and let $u=1/2$. Let $v(x) =1/2 - x$ for $x\in \mathbb{Z}+[h,1-h]$ for some small positive number $h$. By taking $h$ small enough, you can obviously make sure
$$
\int_{[0,1]} v'(u- …