Geodesic
Metrically convex functions in normed spaces
Studia Mathematica, Tome 105 (1993) no. 1, pp. 1-11

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

Properties of metrically convex functions in normed spaces (of any dimension) are considered. The main result, Theorem 4.2, gives necessary and sufficient conditions for a function to be metrically convex, expressed in terms of the classical convexity theory.
DOI : 10.4064/sm-105-1-1-11

Stanisław Kryński 1

1 
@article{10_4064_sm_105_1_1_11,
     author = {Stanis{\l}aw Kry\'nski},
     title = {Metrically convex functions in normed spaces},
     journal = {Studia Mathematica},
     pages = {1--11},
     publisher = {mathdoc},
     volume = {105},
     number = {1},
     year = {1993},
     doi = {10.4064/sm-105-1-1-11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-105-1-1-11/}
}
TY  - JOUR
AU  - Stanisław Kryński
TI  - Metrically convex functions in normed spaces
JO  - Studia Mathematica
PY  - 1993
SP  - 1
EP  - 11
VL  - 105
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-105-1-1-11/
DO  - 10.4064/sm-105-1-1-11
LA  - en
ID  - 10_4064_sm_105_1_1_11
ER  - 
%0 Journal Article
%A Stanisław Kryński
%T Metrically convex functions in normed spaces
%J Studia Mathematica
%D 1993
%P 1-11
%V 105
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-105-1-1-11/
%R 10.4064/sm-105-1-1-11
%G en
%F 10_4064_sm_105_1_1_11
Stanisław Kryński. Metrically convex functions in normed spaces. Studia Mathematica, Tome 105 (1993) no. 1, pp. 1-11. doi: 10.4064/sm-105-1-1-11

Cité par Sources :