The Proofs of the Arithmetic-Geometric Mean Inequality Through Both the Product and Binomial Inequalities

Benedict Barnes, E. Harris, N. F. Darquah, G. Hughes

Abstract

In this paper, we show new ways of proving the arithmetic-geometric
mean AGM inequality through the first product and the second product
inequalities. In addition, we prove the AGM inequality through the
binomial inequalities. These methods are alternative ways of proving
AGM inequalities.

Keywords

arithmetic-geometric inequality, first product inequality, sec- ond product inequality and binomial inequalities

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