An extension of Maclaurin's inequalities

Details An extension of Maclaurin's inequalities An extension of Maclaurin's inequalities

2006-08-08

arxiv.org/abs/math/0608199v2

Mathematics

Combinatorics

Takes into account a paper of Petingi and Rodriguez

Scientific paper

We give a combinatorial extension of the classical inequalities of Maclaurin
about symmetric functions of several variables. We discuss two problems - one
analytical and another combinatorial - and show that they are in some sense
equaivalent. These results complete and extend earlier results of Motzkin and
Straus, Khadzhiivanov, Fisher and Ryan, and Petingi and Rodriguez.

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