Proofs of the arithmetic mean‐geometric mean inequality
作者:
Dieter Rüthing,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1982)
卷期:
Volume 13,
issue 1
页码: 49-54
ISSN:0020-739X
年代: 1982
DOI:10.1080/0020739820130107
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The aim of this paper is to present several proofs of the arithmetic mean‐geometric mean inequality using mathematical induction and the generalized inequality of Bernoulli. Moreover, the well‐known special ideas and procedures of Jacobsthal and Rado in proving the arithmetic mean‐geometric mean inequality are integrated into certain general ideas and procedures from a heuristic standpoint.
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