A criterion of Gamma-nullness and differentiability of convex and quasiconvex functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10318985" target="_blank" >RIV/00216208:11320/15:10318985 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/15:00238961
Result on the web
<a href="http://dx.doi.org/10.4064/sm227-2-5" target="_blank" >http://dx.doi.org/10.4064/sm227-2-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/sm227-2-5" target="_blank" >10.4064/sm227-2-5</a>
Alternative languages
Result language
angličtina
Original language name
A criterion of Gamma-nullness and differentiability of convex and quasiconvex functions
Original language description
We introduce a criterion for a set to be Gamma-null. Using it we give a shorter proof of the result that the set of points where a continuous convex function on a separable Asplund space is not Frechet differentiable is Gamma-null. Our criterion also implies a new result about Gateaux (and Hadamard) differentiability of quasiconvex functions.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Studia Mathematica
ISSN
0039-3223
e-ISSN
—
Volume of the periodical
227
Issue of the periodical within the volume
2
Country of publishing house
PL - POLAND
Number of pages
16
Pages from-to
149-164
UT code for WoS article
000365161400005
EID of the result in the Scopus database
2-s2.0-84941909308