https://github.com/vil02/nowhere_convex

construction of a nowhere convex, non-negative, strictly increasing, continuously differentiable function tightly bounded from above by a convex one
https://github.com/vil02/nowhere_convex

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construction of a nowhere convex, non-negative, strictly increasing, continuously differentiable function tightly bounded from above by a convex one

• Host: GitHub
• URL: https://github.com/vil02/nowhere_convex
• Owner: vil02
• Created: 2021-06-10T18:33:04.000Z (over 3 years ago)
• Default Branch: master
• Last Pushed: 2024-09-12T07:46:54.000Z (4 months ago)
• Last Synced: 2024-09-12T18:00:33.018Z (4 months ago)
• Language: TeX
• Homepage:
• Size: 612 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 1
• Metadata Files:
  • Readme: README.md

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README

        
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[This file](./generated/nowhere_convex.pdf) ([download](https://raw.githubusercontent.com/vil02/nowhere_convex/master/generated/nowhere_convex.pdf)) contains a construction of a nowhere convex, non-negative, strictly increasing, continuously differentiable function tightly bounded from above by a convex one.

It also contains a motivation to consider such an object.

This example was presented during:

* the exercise classes to [_Aspects of Nonlinear Wave Equations_](https://www.math.kit.edu/iana2/edu/nonlinwave2016s/) (summer semester 2016, Karlsruhe),

* the talk [_O pewnej funkcji nigdzie wypukłej z wypukłym ograniczeniem górnym_](http://knm.katowice.pl/spotkanie_21.12.2016_piotr_idzik.php) (in Polish) [[_About a certain nowhere convex function with a convex upper bound_](http://en.knm.katowice.pl/spotkanie_21.12.2016_piotr_idzik.php)] (Katowice, 21.12.2016).

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