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An explicit representation as quasi-sum of squares of a polynomial generated by the AG inequality

Tararykova, Tamara 2006. An explicit representation as quasi-sum of squares of a polynomial generated by the AG inequality. Mathematical Inequalities and Applications 9 (4) , 649 -659. 10.7153/mia-09-58

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Abstract

An explicit representation of the difference (x1+· · ·+xn)ⁿ−nⁿx1· · · xn for all natural n ≥ 2 is given as a sum of pij(xi − xj)2 over all 1 ≤ i < j n where pij = pij(x1, . . . , xn) are homogeneous polynomials of degree n − 2 whose coefficients at all possible monomials of degree n − 2 are positive.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Arithmetic-geometric (AG) inequality, quasi-sum of squares
Publisher: Element d.o.o.
ISSN: 1331-4343
Last Modified: 04 Jun 2017 08:39
URI: http://orca-mwe.cf.ac.uk/id/eprint/81994

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