Timeline for Approximating smooth functions with polynomials subject to constraints.
Current License: CC BY-SA 3.0
2 events
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| Dec 9, 2011 at 6:42 | comment | added | Will Sawin | The statement "if $P_n$ approximates $h$, then $P_n \circ F-P_n \circ G$ approaches $0$" is true whenever composition and subtraction are continuous maps in whatever topology on smooth functions you're considering. Since most (all?) reasonable topologies will satisfy that property, in general this will not give an extra constraint. | |
| Dec 9, 2011 at 6:34 | history | answered | Robert Israel | CC BY-SA 3.0 |