The Brunn–Minkowski–Firey inequality for nonconvex sets
Copyright policy )The Brunn–Minkowski–Firey inequality for nonconvex sets
In this short note, the authors first extend the definition of Minkowski-Firey \(L_p\)-combinations from convex bodies to arbitrary subsets of Euclidean space, and then prove the Brunn-Minkowski-Firey inequality for compact (not necessarily convex) sets of \(\mathbb{R}^n\).
- New York University United States
- Polytechnic University of New York United States
Brunn–Minkowski inequality, Minkowski combinations, Applied Mathematics, Inequalities and extremum problems involving convexity in convex geometry, Brunn-Minkowski-Firey inequality, Minkowski-Firey \(L_p\)-combinations, Minkowski–Firey Lp-combinations, Brunn–Minkowski–Firey inequality, Brunn-Minkowski inequality
Brunn–Minkowski inequality, Minkowski combinations, Applied Mathematics, Inequalities and extremum problems involving convexity in convex geometry, Brunn-Minkowski-Firey inequality, Minkowski-Firey \(L_p\)-combinations, Minkowski–Firey Lp-combinations, Brunn–Minkowski–Firey inequality, Brunn-Minkowski inequality
selected citations 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).23 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.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!