Geodesic
Coincidence of Nodes for Generalized Convex Functions
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 317-320

Voir la notice de l'article provenant de la source Cambridge

DOI

In a recent paper [1] I. B. Lazarevic announced an extension of results of L. Tornheim [2; Theorems 2 & 3] concerning points of contact between two distinct members of an n-parameter family and between a member of an n-parameter family and a corresponding convex function. In the proofs of these extensions [1; Theorems 3.1 & 3.2] use is made of Tornheim′s Convergence Theorem [2; Theorem 5]; however this theorem is not correctly applied in [1] since it requires distinct limiting nodes, and that hypothesis necessarily fails in the approach used in [1], In this note proofs of results more general than those in [1] are given independent of convergence theorems. 
Mathsen, R. M. Coincidence of Nodes for Generalized Convex Functions. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 317-320. doi: 10.4153/CMB-1980-044-0
@article{10_4153_CMB_1980_044_0,
     author = {Mathsen, R. M.},
     title = {Coincidence of {Nodes} for {Generalized} {Convex} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {317--320},
     year = {1980},
     volume = {23},
     number = {3},
     doi = {10.4153/CMB-1980-044-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-044-0/}
}
TY  - JOUR
AU  - Mathsen, R. M.
TI  - Coincidence of Nodes for Generalized Convex Functions
JO  - Canadian mathematical bulletin
PY  - 1980
SP  - 317
EP  - 320
VL  - 23
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-044-0/
DO  - 10.4153/CMB-1980-044-0
ID  - 10_4153_CMB_1980_044_0
ER  - 
%0 Journal Article
%A Mathsen, R. M.
%T Coincidence of Nodes for Generalized Convex Functions
%J Canadian mathematical bulletin
%D 1980
%P 317-320
%V 23
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-044-0/
%R 10.4153/CMB-1980-044-0
%F 10_4153_CMB_1980_044_0

Cité par Sources :