NOTES ON THE TRACE PROBLEM FOR SEPARATELY CONVEX FUNCTIONS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10370759" target="_blank" >RIV/00216208:11320/17:10370759 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1051/cocv/2016066" target="_blank" >http://dx.doi.org/10.1051/cocv/2016066</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/cocv/2016066" target="_blank" >10.1051/cocv/2016066</a>
Alternative languages
Result language
angličtina
Original language name
NOTES ON THE TRACE PROBLEM FOR SEPARATELY CONVEX FUNCTIONS
Original language description
We discuss the following question: for a function f of two or more variables which is convex in the directions of coordinate axes, what can its trace g(x) = f(x,x,...,x) look like? In the two-dimensional case, we provide some necessary and sufficient conditions, as well as some examples illustrating that our approach does not seem to be appropriate for finding a characterization in full generality. For a concave function g, however, a characterization in the two-dimensional case is established.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ESAIM - Control, Optimisation and Calculus of Variations
ISSN
1292-8119
e-ISSN
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Volume of the periodical
23
Issue of the periodical within the volume
4
Country of publishing house
FR - FRANCE
Number of pages
32
Pages from-to
1617-1648
UT code for WoS article
000412531600016
EID of the result in the Scopus database
2-s2.0-85032182569