Shirali, Shailesh
(2018)
Inequalities in algebra and geometry.
At Right Angles, 7 (1).
pp. 7579.
Abstract
This article is the fourth in the
‘Inequalities’ series. This time,
we present a novel proof of the
general AMGM inequality,
based on iteration. Following
this, we present some applications
of the inequality.
The (generally referred to as the AMGM inequality; said to be part of the daily diet for aspiring mathletes, arithmetic meangeometric mean inequality
and routinely used in many branches of mathematics) is
wellknown. 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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