Shirali, Shailesh
(2018)
Inequalities in algebra and geometry.
At Right Angles, 7 (1).
pp. 75-79.
Abstract
This article is the fourth in the
‘Inequalities’ series. This time,
we present a novel proof of the
general AM-GM inequality,
based on iteration. Following
this, we present some applications
of the inequality.
The (generally referred to as the AM-GM inequality; said to be part of the daily diet for aspiring mathletes, arithmetic mean-geometric mean inequality
and routinely used in many branches of mathematics) is
well-known. New proofs come up once in a while. The
following iterative proof is highly unusual and will be of
interest to some readers
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