Electronic Resource
Oxford, UK
:
Blackwell Publishing Ltd
Annals of the New York Academy of Sciences
175 (1970), S. 0
ISSN:
1749-6632
Source:
Blackwell Publishing Journal Backfiles 1879-2005
Topics:
Natural Sciences in General
Notes:
Let X be a finite set of positive real variables. For each subset A of X, let πA =πXɛA x, and let s̀m denote the elementary symmetric polynomial of degree m in X. A Sperner collection on X is a family of subsets such that no one contains another. Two unrelated proofs that ΣAɛΓπA/s̀|A|≤ 1 are provided, where Γ is a Sperner on X, and |A| denotes the cardinality of A. This and other results which represent generalizations of a theorem of E. Sperner are discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1111/j.1749-6632.1970.tb56479.x
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