Continuous non differentiable functions :)

Question

I was searching for functions like Weierstrass (continuous but differentiable nowhere), but I haven't found any. If you could tell me some that would be great. Also, I would like to find some continuous functions with dense maximums.

This information would be very helpful for a research I'm doing in my university.

Thanks!

yes :C and the only case I found for the first one, was Weierstrass. — user153161, May 25 '14 at 00:52
After my own mentioning of the Weierstrass function, MJD responded with this link: http://www-formal.stanford.edu/jmc/weierstrass.pdf on my answer here: http://math.stackexchange.com/questions/140428/continuous-versus-differentiable/140724#140724 — Nicholas Stull, May 25 '14 at 00:55
Weierstrass's function can be generalized. Or are you looking for some radically different construction? — vonbrand, May 25 '14 at 00:56

score 4 · Accepted Answer · edited Oct 24 '19 at 22:06

4

This looks to me as a very thorough compendium.

edited Oct 24 '19 at 22:06

benrg

310

answered May 25 '14 at 00:55

Pedro

122,002

Continuous non differentiable functions :)

1 Answers1