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Results tagged with approximation-theory
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user 13093
Approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.
1
vote
1
answer
47
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Approximation with a more regular function and an inequality constraint
The motivation of the question comes from a geometric problem: can we approximate a $C^{1,\alpha}$ set $\Omega$ with positive curvature (in distributional sense) from inside with $C^2$ sets with posit …
- 2,222
0
votes
Accepted
Approximation with a more regular function and an inequality constraint
Looks like the answer to this question is affirmative. In fact the question is equivalent to the following one: Regularization by mean curvature flow
Take a look at the article in the given answer …
- 2,222
6
votes
1
answer
311
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Regularization by mean curvature flow
I have a $C^{1,\alpha}$ surface defined as the graph of some function $\varphi : B \to \Bbb{R}_+$ ($B$ is a ball). This surface has positive and bounded mean curvature in the weak sense (since the cur …
- 2,222