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Proofs that the Arithmetic Mean is Greater than the Geometric Mean

Published online by Cambridge University Press:  03 November 2016

R. F. Muirhead
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Extract

What follows is a condensed statement and classification of various proofs of the above well-known theorem.

For two positive quantities, a and b, the proof may be put as follows:

Type
Research Article
Information
The Mathematical Gazette , Volume 2 , Issue 39 , May 1903 , pp. 283 - 287
Copyright
Copyright © Mathematical Association 1903

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