Geodesic
On uniformly convex functions
Annales Polonici Mathematici, Tome 56 (1991) no. 1, pp. 87-92.

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

We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.
DOI : 10.4064/ap-56-1-87-92
Keywords: univalent functions, convex functions, coefficient bounds

A. Goodman 1

1 
@article{10_4064_ap_56_1_87_92,
     author = {A. Goodman},
     title = {On uniformly convex functions},
     journal = {Annales Polonici Mathematici},
     pages = {87--92},
     publisher = {mathdoc},
     volume = {56},
     number = {1},
     year = {1991},
     doi = {10.4064/ap-56-1-87-92},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-56-1-87-92/}
}
TY  - JOUR
AU  - A. Goodman
TI  - On uniformly convex functions
JO  - Annales Polonici Mathematici
PY  - 1991
SP  - 87
EP  - 92
VL  - 56
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-56-1-87-92/
DO  - 10.4064/ap-56-1-87-92
LA  - en
ID  - 10_4064_ap_56_1_87_92
ER  - 
%0 Journal Article
%A A. Goodman
%T On uniformly convex functions
%J Annales Polonici Mathematici
%D 1991
%P 87-92
%V 56
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-56-1-87-92/
%R 10.4064/ap-56-1-87-92
%G en
%F 10_4064_ap_56_1_87_92
A. Goodman. On uniformly convex functions. Annales Polonici Mathematici, Tome 56 (1991) no. 1, pp. 87-92. doi : 10.4064/ap-56-1-87-92. http://geodesic.mathdoc.fr/articles/10.4064/ap-56-1-87-92/

Cité par Sources :