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93.30 A simple combinatorial proof of the theorem of the means

Published online by Cambridge University Press:  01 August 2016

Robert M. Young*
Affiliation:
Department of Mathematics, Oberlin College, Oberlin, OH 44074, USA

Abstract

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Type
Notes
Copyright
Copyright © The Mathematical Association 2009

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References

1. Bullen, P.S., Mitrinovic, D.S. and Vasic, P.M., Means and their inequalities, Reidel, Dordrecht, 1988.CrossRefGoogle Scholar
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3. Cauchy, A.L., Cours d’Analyse de l’École Polytechnique. I re partie. Analyse algébrique, Paris, 1821.Google Scholar
4. Bernoulli, J., Propositiones arithmeticae de seriebus infinitis (1689). Reprinted in Die Werke von Jacob Bernoulli, vol. 4, Birkhauser, Basel, 1993.Google Scholar
5. Child, J.M., The geometrical lectures of Isaac Barrow, Open Court, Chicago and London, 1916.Google Scholar
6. Young, R.M., A serendipitous path to a famous inequality, Math. Gaz. 92 (2008) pp. 5054.CrossRefGoogle Scholar