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The log route to means and inequalities

Published online by Cambridge University Press:  01 August 2016

Frank Chorlton
Frank Chorlton*
Affiliation:
Department of Mathematics and Physics, University of Aston in Birmingham
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Extract

In this short article I consider the centre of mass of a collection of particles placed on the log curve, and deduce various inequalities concerning the arithmetic, harmonic and geometric means. I have seen the idea used for a pair of points on the log curve but thought that the general approach could be of interest to Gazette readers.

Type
Research Article
Information
The Mathematical Gazette , Volume 70 , Issue 454 , December 1986 , pp. 266 - 269
Copyright
Copyright © The Mathematical Association 1986

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