A new approach to means of two positive numbers
作者:
Michael Grossman,
Robert Katz,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1986)
卷期:
Volume 17,
issue 2
页码: 205-208
ISSN:0020-739X
年代: 1986
DOI:10.1080/0020739860170211
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The article presents a simple method for generating infinitely many means of two arbitrarily chosen positive numbersx<y.Each suitable process for decomposing the interval [x,y], together with any suitable process for averaging numbers, determines a mean ofxand y. These means include many of the well‐known ones, and are equal to various averages of the identity function. The method is used to yield simple proofs of some familiar inequalities.
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