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On the Arithmetic and Geometric Means Inequality

Published online by Cambridge University Press:  20 January 2009

V. Ramaswami Aiyar
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Let a and b be positive and unequal; and let x be their arithmetic mean. Then we have the following equality and inequality

The inequality is tantamount to the fact that the G.M. of a and b is less than the A.M.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 25 , February 1906 , pp. 46 - 47
Copyright
Copyright © Edinburgh Mathematical Society 1906