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zbMATH Open
Article . 2011
Data sources: zbMATH Open
Journal of Convex Analysis
Article . 2011 . Peer-reviewed
Data sources: Crossref
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Moderation of Convex Bodies

Moderation of convex bodies
Authors: Itoh, Jin-Ichi; Zamfirescu, Tudor;

Moderation of Convex Bodies

Abstract

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

Keywords

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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citations
The total number of citations received by all articles of the researcher of interest.
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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