A Typical Nowhere Differentiable Function
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 149-151
Voir la notice de l'article provenant de la source Cambridge University Press
We construct an explicit continuous function F such that for each point x, every extended real number is a derived number of F at x and F has an infinite left and an infinite right derived number at x.
Mots-clés :
26A27, 26A15, nowhere differentiable function, continuous function, Dini derivate, derived number
Cater, F. S. A Typical Nowhere Differentiable Function. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 149-151. doi: 10.4153/CMB-1983-024-4
@article{10_4153_CMB_1983_024_4,
author = {Cater, F. S.},
title = {A {Typical} {Nowhere} {Differentiable} {Function}},
journal = {Canadian mathematical bulletin},
pages = {149--151},
year = {1983},
volume = {26},
number = {2},
doi = {10.4153/CMB-1983-024-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-024-4/}
}
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