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For questions involving the concept of convexity

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 …
Beni Bogosel's user avatar
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2 votes
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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 …
Beni Bogosel's user avatar
  • 2,222