Timeline for Is there a continuous function with finitely many local extrema which is arbitrarily hard to approximate by (trigonometric) polynomials?
Current License: CC BY-SA 4.0
4 events
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Jun 18, 2022 at 16:35 | comment | added | Derivative | @JorgeZuniga how do you prove that? | |
Jun 17, 2022 at 23:30 | comment | added | Jorge Zuniga | Yes, classical Weierstrass function and similar ones match the title question, for instance. $f(x)=\sum_{n=0}^\infty a^n \cos(b^n\pi x)$, $0<a<1$, $b$ positive odd integer and $ab >1 + 3\pi/2$ | |
Jun 17, 2022 at 22:39 | history | edited | Derivative | CC BY-SA 4.0 |
edited title
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Jun 13, 2022 at 18:42 | history | asked | Derivative | CC BY-SA 4.0 |