| Title:
|
On the points of non-differentiability of convex functions (English) |
| Author:
|
Pavlica, David |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
727-734 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize sets of non-differentiability points of convex functions on $\Bbb R^n$. This completes (in $\Bbb R^n$) the result by Zajíček [2] which gives a characterization of the magnitude of these sets. (English) |
| Keyword:
|
differentiability |
| Keyword:
|
convex functions |
| MSC:
|
26B05 |
| MSC:
|
26B25 |
| MSC:
|
49J50 |
| MSC:
|
49J52 |
| idZBL:
|
Zbl 1100.26006 |
| idMR:
|
MR2103086 |
| . |
| Date available:
|
2009-05-05T16:48:37Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119496 |
| . |
| Reference:
|
[1] Rockafellar R.T.: Convex Analysis.Princeton University Press (1970). Zbl 0193.18401, MR 0274683 |
| Reference:
|
[2] Zajíček L.: On the differentiability of convex functions in finite and infinite dimensional spaces.Czechoslovak Math. J. 29 (104) (1979), 340-348. MR 0536060 |
| . |
