A CHARACTERIZATION OF SETS IN R^2 WITH DC DISTANCE FUNCTION
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10456377" target="_blank" >RIV/00216208:11320/22:10456377 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=vIHMurR-xR" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=vIHMurR-xR</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/CMJ.2021.0228-20" target="_blank" >10.21136/CMJ.2021.0228-20</a>
Alternative languages
Result language
angličtina
Original language name
A CHARACTERIZATION OF SETS IN R^2 WITH DC DISTANCE FUNCTION
Original language description
We give a complete characterization of closed sets F in R^2 whose distancefunction dF := dist(., F) is DC (i.e., is the difference of two convex functions on R^2). Usingthis characterization, a number of properties of such sets is proved.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-11058S" target="_blank" >GA18-11058S: Generalized convexity in geometry and analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Czechoslovak Mathematical Journal
ISSN
0011-4642
e-ISSN
1572-9141
Volume of the periodical
72
Issue of the periodical within the volume
147
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
38
Pages from-to
1-38
UT code for WoS article
000680779400002
EID of the result in the Scopus database
2-s2.0-85111836117