Polar Duals of Convex Bodies
Copyright policy ) Ghandehari, Mostafa;
Polar Duals of Convex Bodies
The author establishes several inequalities which relate mixed volumes of a convex body \(K\) in \(\mathbb{R}^ n\) and its polar, \(K^*\). A typical example is \[ V(K^*,K,\dots,K)^ n\geq\omega^ 2_ nV(K)^{n-2}, \] where \(\omega_ n\) is the volume of the unit ball and \(V(K):=V(K,\dots,K)\) stands for the volume of \(K\).
inequalities, Inequalities and extremum problems involving convexity in convex geometry, polar, Mixed volumes and related topics in convex geometry, mixed volumes, convex body
inequalities, Inequalities and extremum problems involving convexity in convex geometry, polar, Mixed volumes and related topics in convex geometry, mixed volumes, convex body
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selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 13
Average
Top 10%
Average
bronze