| Title:
|
An elementary proof of the one-dimensional Rademacher theorem (English) |
| Author:
|
Zajíček, Luděk |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
133-136 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An elementary short proof of the one-dimensional Rademacher theorem on differentiability of Lipschitz functions is given. (English) |
| Keyword:
|
differentiability almost everywhere |
| Keyword:
|
Dini derivatives |
| Keyword:
|
Rademacher theorem |
| Keyword:
|
Lipschitz function |
| Keyword:
|
derivative |
| MSC:
|
26A24 |
| idZBL:
|
Zbl 0757.26008 |
| idMR:
|
MR1165889 |
| DOI:
|
10.21136/MB.1992.125906 |
| . |
| Date available:
|
2009-09-24T20:51:16Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125906 |
| . |
| Reference:
|
[1] V. Jarník: Differential Calculus II.Prague, 1956. (In Czech.) |
| Reference:
|
[2] A. Nekvinda L. Zajíček: A simple proof of the Rademacher theorem.Časopis pěst. mat. 113 (1988), 337-341. MR 0981874 |
| Reference:
|
[3] H. Rademacher: Über partielle und totale Differenzierbarkeit I.Math. Ann. 89 (1919), 340-359. MR 1511935 |
| Reference:
|
[4] S. Saks: Theory of the Integral.New York, 1937. Zbl 0017.30004 |
| Reference:
|
[5] L. Zajíček: An elementary proof of the one-dimensional density theorem.Amer. Math. Monthly 86 (1979), 297-298. MR 0525764, 10.1080/00029890.1979.11994796 |
| . |
