The Arithmetic Mean - Geometric Mean - Harmonic Mean: Inequalities and a Spectrum of Applications

摘要

The Arithmetic Mean – Geometric Mean – Harmonic Meaninequality, AM–GM–HM inequality in short, is one of thefundamental inequalities in Algebra, and it is used extensivelyin olympiad mathematics to solve many problems. Theaim of this article is to acquaint students with the inequality,its proof and various applications.