No CrossRef data available.
Article contents
A proof of the “Theorem of the Means.”
Published online by Cambridge University Press: 31 October 2008
Extract
Numerous proofs have been given of this familiar theorem, which states that if a1, a2, …, an are positive, and not all equal, then
The following is an elementary proof by induction, which I have not seen used before. It is, of course, not claimed to be novel, and not likely to be so.
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 1943
References
1 See e.g. Hardy, Littlewood & Pölya Inequalities, where many references will be found.