Geodesic
Monotonicity of the Integral Mean and Convex Functions
Journal of convex analysis, Tome 8 (2001) no. 2, pp. 489-51.

Voir la notice de l'article provenant de la source Heldermann Verlag

A set A will be said convexly majorized by a set B if the integral mean of any convex function over A is not exceeding its mean over B. Sufficient conditions and necessary conditions are presented about this relation. Methods will be introduced which generate such sets A and B. 
@article{JCA_2001_8_2_JCA_2001_8_2_a11,
     author = {P. Fischer and Z. Slodkowski},
     title = {Monotonicity of the {Integral} {Mean} and {Convex} {Functions}},
     journal = {Journal of convex analysis},
     pages = {489--51},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2001},
     url = {http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a11/}
}
TY  - JOUR
AU  - P. Fischer
AU  - Z. Slodkowski
TI  - Monotonicity of the Integral Mean and Convex Functions
JO  - Journal of convex analysis
PY  - 2001
SP  - 489
EP  - 51
VL  - 8
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a11/
ID  - JCA_2001_8_2_JCA_2001_8_2_a11
ER  - 
%0 Journal Article
%A P. Fischer
%A Z. Slodkowski
%T Monotonicity of the Integral Mean and Convex Functions
%J Journal of convex analysis
%D 2001
%P 489-51
%V 8
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a11/
%F JCA_2001_8_2_JCA_2001_8_2_a11
P. Fischer; Z. Slodkowski. Monotonicity of the Integral Mean and Convex Functions. Journal of convex analysis, Tome 8 (2001) no. 2, pp. 489-51. http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a11/