Geodesic
An elementary proof of the one-dimensional Rademacher theorem
Mathematica Bohemica, Tome 117 (1992) no. 2, pp. 133-136

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
An elementary short proof of the one-dimensional Rademacher theorem on differentiability of Lipschitz functions is given.
An elementary short proof of the one-dimensional Rademacher theorem on differentiability of Lipschitz functions is given.
DOI : 10.21136/MB.1992.125906
Classification : 26A24
Keywords: differentiability almost everywhere; Dini derivatives; Rademacher theorem; Lipschitz function; derivative 
Zajíček, Luděk. An elementary proof of the one-dimensional Rademacher theorem. Mathematica Bohemica, Tome 117 (1992) no. 2, pp. 133-136. doi: 10.21136/MB.1992.125906
@article{10_21136_MB_1992_125906,
     author = {Zaj{\'\i}\v{c}ek, Lud\v{e}k},
     title = {An elementary proof of the one-dimensional {Rademacher} theorem},
     journal = {Mathematica Bohemica},
     pages = {133--136},
     year = {1992},
     volume = {117},
     number = {2},
     doi = {10.21136/MB.1992.125906},
     mrnumber = {1165889},
     zbl = {0757.26008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.125906/}
}
TY  - JOUR
AU  - Zajíček, Luděk
TI  - An elementary proof of the one-dimensional Rademacher theorem
JO  - Mathematica Bohemica
PY  - 1992
SP  - 133
EP  - 136
VL  - 117
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.125906/
DO  - 10.21136/MB.1992.125906
LA  - en
ID  - 10_21136_MB_1992_125906
ER  - 
%0 Journal Article
%A Zajíček, Luděk
%T An elementary proof of the one-dimensional Rademacher theorem
%J Mathematica Bohemica
%D 1992
%P 133-136
%V 117
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.125906/
%R 10.21136/MB.1992.125906
%G en
%F 10_21136_MB_1992_125906

[1] V. Jarník: Differential Calculus II. Prague, 1956. (In Czech.)

[2] A. Nekvinda L. Zajíček: A simple proof of the Rademacher theorem. Časopis pěst. mat. 113 (1988), 337-341. | MR

[3] H. Rademacher: Über partielle und totale Differenzierbarkeit I. Math. Ann. 89 (1919), 340-359. | MR

[4] S. Saks: Theory of the Integral. New York, 1937. | Zbl

[5] L. Zajíček: An elementary proof of the one-dimensional density theorem. Amer. Math. Monthly 86 (1979), 297-298. | DOI | MR

Cité par Sources :