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

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    • Keywords


      Arithmetic mean, geometric mean, harmonic mean, Nesbit’s inequality, Euler’s inequality.

    • Abstract


      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.

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© 2021-2022 Indian Academy of Sciences, Bengaluru.