On the points of non-differentiability of convex functions

Pavlica, David. "On the points of non-differentiability of convex functions." Commentationes Mathematicae Universitatis Carolinae 45.4 (2004): 727-734. <http://eudml.org/doc/249363>.

@article{Pavlica2004,
abstract = {We characterize sets of non-differentiability points of convex functions on $\mathbb \{R\}^n$. This completes (in $\mathbb \{R\}^n$) the result by Zajíček [2] which gives a characterization of the magnitude of these sets.},
author = {Pavlica, David},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {differentiability; convex functions},
language = {eng},
number = {4},
pages = {727-734},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the points of non-differentiability of convex functions},
url = {http://eudml.org/doc/249363},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Pavlica, David
TI - On the points of non-differentiability of convex functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 4
SP - 727
EP - 734
AB - We characterize sets of non-differentiability points of convex functions on $\mathbb {R}^n$. This completes (in $\mathbb {R}^n$) the result by Zajíček [2] which gives a characterization of the magnitude of these sets.
LA - eng
KW - differentiability; convex functions
UR - http://eudml.org/doc/249363
ER -