Volume 4,  Issue 2, 2003

Article 48



E-Mail: mitev@ami.ru.acad.bg

Received 7 November, 2002; Accepted 21 February, 2003.
Communicated by: C.P. Niculescu

ABSTRACT.    New families of sharp inequalities between elementary symmetric polynomials are proven. We estimate $\sigma_{n-k}$ above and below by the elementary symmetric polynomials $\sigma_{n-k+1},\dots ,\sigma_{n}$ in the case, when $%
x_1,\dots,x_n$ are non-negative real numbers with sum equal to one.
Key words:
Elementary symmetric polynomials.

2000 Mathematics Subject Classification:

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