Geodesic
An Elementary Proof of a Theorem on Unilateral Derivatives
Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 341-343

Voir la notice de l'article provenant de la source Cambridge University Press

We give an elementary proof of the theorem of Saks that states that most functions in C[0, 1] have infinite unilateral derivatives at a continuum many points.
DOI : 10.4153/CMB-1986-052-5
Mots-clés : infinite unilateral derivative, continuum many points, complete metric space, 26A15, 26A24, 26A27 
Cater, F. S. An Elementary Proof of a Theorem on Unilateral Derivatives. Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 341-343. doi: 10.4153/CMB-1986-052-5
@article{10_4153_CMB_1986_052_5,
     author = {Cater, F. S.},
     title = {An {Elementary} {Proof} of a {Theorem} on {Unilateral} {Derivatives}},
     journal = {Canadian mathematical bulletin},
     pages = {341--343},
     year = {1986},
     volume = {29},
     number = {3},
     doi = {10.4153/CMB-1986-052-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-052-5/}
}
TY  - JOUR
AU  - Cater, F. S.
TI  - An Elementary Proof of a Theorem on Unilateral Derivatives
JO  - Canadian mathematical bulletin
PY  - 1986
SP  - 341
EP  - 343
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-052-5/
DO  - 10.4153/CMB-1986-052-5
ID  - 10_4153_CMB_1986_052_5
ER  - 
%0 Journal Article
%A Cater, F. S.
%T An Elementary Proof of a Theorem on Unilateral Derivatives
%J Canadian mathematical bulletin
%D 1986
%P 341-343
%V 29
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-052-5/
%R 10.4153/CMB-1986-052-5
%F 10_4153_CMB_1986_052_5

[1] 1. Bruckner, A., Some new simple proofs of old difficult theorems, Real Analysis Exchange, 9 (1984), pp. 74–75. Google Scholar

[2] 2. Saks, S., On the functions of Besicovich in the space ofcontinuous functions, Fund. Math., 19 (1932), pp. 211–219. Google Scholar

Cité par Sources :