TY - JOUR
T1 - The Brunn-Minkowski-Firey inequality for nonconvex sets
AU - Lutwak, Erwin
AU - Yang, Deane
AU - Zhang, Gaoyong
N1 - Funding Information:
✩ Research supported, in part, by NSF Grant DMS-9803261 and DMS-1007347.
PY - 2012/2
Y1 - 2012/2
N2 - The definition of Minkowski-Firey Lp-combinations is extended from convex bodies to arbitrary subsets of Euclidean space. The Brunn-Minkowski-Firey inequality (along with its equality conditions), previously established only for convex bodies, is shown to hold for compact sets.
AB - The definition of Minkowski-Firey Lp-combinations is extended from convex bodies to arbitrary subsets of Euclidean space. The Brunn-Minkowski-Firey inequality (along with its equality conditions), previously established only for convex bodies, is shown to hold for compact sets.
KW - Brunn-Minkowski inequality
KW - Brunn-Minkowski-Firey inequality
KW - Minkowski combinations
KW - Minkowski-Firey L -combinations
UR - http://www.scopus.com/inward/record.url?scp=84855651083&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84855651083&partnerID=8YFLogxK
U2 - 10.1016/j.aam.2011.11.003
DO - 10.1016/j.aam.2011.11.003
M3 - Article
AN - SCOPUS:84855651083
SN - 0196-8858
VL - 48
SP - 407
EP - 413
JO - Advances in Applied Mathematics
JF - Advances in Applied Mathematics
IS - 2
ER -