Geodesic
Poorly convex functions and their application to an optimization problem
Tadeusz Radzik1
1 Faculty of Mathematics Wrocław University of Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
Applicationes Mathematicae, Tome 47 (2020) no. 1, pp. 1-27.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The paper introduces a new class of functions, called poorly convex, defined on convex subsets of $\mathbb {R}^n$. The class is bigger than the class of classical convex functions, and is a subset of the class of quasi-convex ones. The theory of poorly convex functions is developed, and its application to an optimization problem is shown.
DOI : 10.4064/am2389-10-2019
Keywords: paper introduces class functions called poorly convex defined convex subsets nbsp mathbb class bigger class classical convex functions subset class quasi convex theory poorly convex functions developed its application optimization problem shown

Tadeusz Radzik 1

1 Faculty of Mathematics Wrocław University of Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland 
@article{10_4064_am2389_10_2019,
     author = {Tadeusz Radzik},
     title = {Poorly convex functions and their application to an optimization problem},
     journal = {Applicationes Mathematicae},
     pages = {1--27},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2020},
     doi = {10.4064/am2389-10-2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am2389-10-2019/}
}
TY  - JOUR
AU  - Tadeusz Radzik
TI  - Poorly convex functions and their application to an optimization problem
JO  - Applicationes Mathematicae
PY  - 2020
SP  - 1
EP  - 27
VL  - 47
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am2389-10-2019/
DO  - 10.4064/am2389-10-2019
LA  - en
ID  - 10_4064_am2389_10_2019
ER  - 
%0 Journal Article
%A Tadeusz Radzik
%T Poorly convex functions and their application to an optimization problem
%J Applicationes Mathematicae
%D 2020
%P 1-27
%V 47
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am2389-10-2019/
%R 10.4064/am2389-10-2019
%G en
%F 10_4064_am2389_10_2019
Tadeusz Radzik. Poorly convex functions and their application to an optimization problem. Applicationes Mathematicae, Tome 47 (2020) no. 1, pp. 1-27. doi : 10.4064/am2389-10-2019. http://geodesic.mathdoc.fr/articles/10.4064/am2389-10-2019/

Cité par Sources :