Timeline for Uniform norm bounds for linear approximation of 1-Lipschitz functions
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 26, 2022 at 16:39 | comment | added | user124784 | Embarrassingly simple! It seems I was overthinking things. Thanks. | |
| Sep 26, 2022 at 16:37 | history | edited | Nawaf Bou-Rabee | CC BY-SA 4.0 |
corrected a typo in the definition of the linear approx
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| Sep 26, 2022 at 16:35 | comment | added | Nawaf Bou-Rabee | It seems you are right, since $| \hat{f}(x) - f(x)| = |\frac{d-x}{d} ( f(0) - f(x) ) + \frac{x}{d} (f(d) - f(x))| \le \frac{d- x}{d} x + \frac{x}{d} (d - x) = \frac{(d - x) x}{d/2} $ which seems to be largest when $x=d/2$ to obtain $C(d) = d/2$. | |
| Sep 26, 2022 at 16:03 | history | asked | user124784 | CC BY-SA 4.0 |