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

被引：0
|
作者：
Padron, Miguel A. [1 ]
Plaza, Angel [2 ]
机构：
[1] Univ Las Palmas Gran Canaria, IUMA, Las Palmas Gran Canaria, Spain
[2] Univ Las Palmas Gran Canaria, Dept Math, Canarias 20,1, Las Palmas Gran Canaria 35002, Las Palmas, Spain
来源：
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2021年 / 52卷 / 08期
关键词：
Arithmetic mean; harmonic mean; inequality;
D O I：
10.1080/0020739X.2020.1827175
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
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.
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页码：1250 / 1252
页数：3
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