ISSN:
1436-5081
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract For any set ofn+1 pointsx 1, ...,x n+1F we denote byv(C(x 1,...,x n+1∈ℝ)) then-dimensional oriented volume of the convex hullC(x 1,...,x n+1) of these points. With a fixed symmetric functionf: ℝ→〉ℝ〉 strictly monotone increasing on the nonnegative real line, we consider the real functional RODEL on the set of all convex bodiesK of ℝn with absolute volume |v(K)|=1 and assert, that it takes its minimal value on the ellipsoids with absolute volume 1.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01387909
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