Geodesic
Moderation of Convex Bodies
Journal of convex analysis, Tome 18 (2011) no. 3, pp. 865-872 
J. Itoh; T. Zamfirescu. Moderation of Convex Bodies. Journal of convex analysis, Tome 18 (2011) no. 3, pp. 865-872. http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a16/
@article{JCA_2011_18_3_JCA_2011_18_3_a16,
     author = {J. Itoh and T. Zamfirescu},
     title = {Moderation of {Convex} {Bodies}},
     journal = {Journal of convex analysis},
     pages = {865--872},
     year = {2011},
     volume = {18},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a16/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

Everybody knows what an extreme point of a convex body is. Does this notion have an opposite? A most non-extreme point? Or: can we somehow say that a point is more or less extreme than another? In this paper we show a way to do this. We shall define the notion of moderation for points of a convex body. Then the points of largest moderation will be the moderate, those of smallest moderation the extreme points, as you would expect.