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ERIC Number: EJ1122728
Record Type: Journal
Publication Date: 2017
Pages: 7
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
On Arithmetic-Geometric-Mean Polynomials
Griffiths, Martin; MacHale, Des
International Journal of Mathematical Education in Science and Technology, v48 n1 p111-117 2017
We study here an aspect of an infinite set "P" 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 probability "P" 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.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A