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

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/reso/021/12/1119-1133

    • 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.

    • Author Affiliations

       
    • Dates

       

© 2021-2022 Indian Academy of Sciences, Bengaluru.