Timeline for Existence of uniform approximator that also approximates derivative
Current License: CC BY-SA 4.0
8 events
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| Jan 14, 2021 at 12:04 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Dec 15, 2020 at 11:02 | answer | added | Jochen Wengenroth | timeline score: 1 | |
| Dec 14, 2020 at 19:33 | comment | added | Yemon Choi | [deleted a comment which was based on a mis-reading] | |
| Dec 14, 2020 at 17:50 | comment | added | Ali Taghavi | The holomorpgic case works well. If a sequence of holomorphic maps is locally uniformly convergence then its derivative converges too. So the real case of this situation occures in power serises. Every convergence real power series has convergence (higher order) derivative. | |
| Dec 14, 2020 at 17:49 | history | edited | potionowner | CC BY-SA 4.0 |
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| Dec 14, 2020 at 17:46 | comment | added | Yemon Choi | Secondly: if $f_n'\to f'$ uniformly then it follows from the Fundamental theorem of calculus and basic estimates that $f_n \to f$ uniformly | |
| Dec 14, 2020 at 17:46 | comment | added | Yemon Choi | Firstly, I think there is a typo: you presumably mean that $f_n' \to f'$ | |
| Dec 14, 2020 at 17:41 | history | asked | potionowner | CC BY-SA 4.0 |