NOTES ON THE TRACE PROBLEM FOR SEPARATELY CONVEX FUNCTIONS

Kód výsledku v 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>
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
NOTES ON THE TRACE PROBLEM FOR SEPARATELY CONVEX FUNCTIONS
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
NOTES ON THE TRACE PROBLEM FOR SEPARATELY CONVEX FUNCTIONS
Popis výsledku anglicky
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.

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Podobné výsledky(10)