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Results tagged with convexity
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user 13093
For questions involving the concept of convexity
2
votes
Accepted
the validity of a basic statement involving the Hausdorff distance
In Variation et optimisation des formes by A. Henrot and M. Pierre, in Chapter 2, Exercises section there is the following statement:
Exercise 2.12 Let $(\Omega_n)$ be a sequence of open sets, hav …
- 2,222
2
votes
Strange result about convexity
Here is a more problem solving approach, since this problem comes from AoPS. Instead of working with $f$, work with $g = f''$ which is a convex function.
Note that it is enough to assume $g(1)=0$. In …
- 2,222