
doi: 10.68381/jca18054
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
moderation set, moderation number, Inequalities and extremum problems involving convexity in convex geometry, inradius, sphere, extreme point, Convex sets in \(n\) dimensions (including convex hypersurfaces), convex body
moderation set, moderation number, Inequalities and extremum problems involving convexity in convex geometry, inradius, sphere, extreme point, Convex sets in \(n\) dimensions (including convex hypersurfaces), convex body
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