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 |
Official URL: http://mia.ele-math.com/09-58/An-explicit-represen...
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 |
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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.cf.ac.uk/id/eprint/81994 |
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