Geodesic
Describing Multiplicative Convex Functions
Journal of convex analysis, Tome 27 (2020) no. 3, pp. 935-942
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

Multiplicative convex functions have been mimicking the behavior of convex functions, but focusing on geometric average, instead of arithmetic average. In the present note we propose a different definition which focuses on the arithmetic operations taking part and we study the resulting functions. A characterization is also provided.
Classification : 26A51, 30C45
Mots-clés : Convexity, convex function, multiplicative convex 
@article{JCA_2020_27_3_JCA_2020_27_3_a7,
     author = {P. Jim\'enez-Rodr{\'\i}guez and M. E. Mart{\'\i}nez-G\'omez and G. A. Munoz-Fern\'andez and J. B. Seoane-Sep\'ulveda},
     title = {Describing {Multiplicative} {Convex} {Functions}},
     journal = {Journal of convex analysis},
     pages = {935--942},
     year = {2020},
     volume = {27},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a7/}
}
TY  - JOUR
AU  - P. Jiménez-Rodríguez
AU  - M. E. Martínez-Gómez
AU  - G. A. Munoz-Fernández
AU  - J. B. Seoane-Sepúlveda
TI  - Describing Multiplicative Convex Functions
JO  - Journal of convex analysis
PY  - 2020
SP  - 935
EP  - 942
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a7/
ID  - JCA_2020_27_3_JCA_2020_27_3_a7
ER  - 
%0 Journal Article
%A P. Jiménez-Rodríguez
%A M. E. Martínez-Gómez
%A G. A. Munoz-Fernández
%A J. B. Seoane-Sepúlveda
%T Describing Multiplicative Convex Functions
%J Journal of convex analysis
%D 2020
%P 935-942
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a7/
%F JCA_2020_27_3_JCA_2020_27_3_a7
P. Jiménez-Rodríguez; M. E. Martínez-Gómez; G. A. Munoz-Fernández; J. B. Seoane-Sepúlveda. Describing Multiplicative Convex Functions. Journal of convex analysis, Tome 27 (2020) no. 3, pp. 935-942. http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a7/