Resumen de On arithmetic-geometric-mean polynomials

Martin Griffiths, Des Machale

• We study here an aspect of an infinite set of multivariate polynomials, the elements of which are associated with the arithmetic-geometric-mean inequality. In particular, we show in this article that there exist infinite subsets of for which every element may be expressed as a finite sum of squares of real polynomials. Some of the mathematics discussed here would be suitable as extension material for senior pre-university students and first-year undergraduates.