A mechanically-based proof of the arithmetic mean harmonic mean inequality

• Miguel A. Padrón ^[1] ; Ángel Plaza ^[1]
  1. [1] Universidad de Las Palmas de Gran Canaria

     Universidad de Las Palmas de Gran Canaria

     Gran Canaria, España

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 52, Nº. 8, 2021, págs. 1250-1252
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Many proofs of the arithmetic mean harmonic mean inequality have been proposed based on the rich connections between mathematics and physics. Sometimes the Arithmetic Mean Harmonic Mean inequality is proved by using electric networks. In this note, we use a simple set of two springs, instead of four springs which would be the equivalent set to those using electric networks.