- Research Article
- Open Access
Continuously differentiable means
© Jun Ichi Fujii et al. 2006
- Received: 3 March 2006
- Accepted: 12 September 2006
- Published: 5 November 2006
We consider continuously differentiable means, say -means. As for quasi-arithmetic means , we need an assumption that has no stationary points so that might be continuously differentiable. Introducing quasi-weights for -means would give a satisfactory explanation for the necessity of this assumption. As a typical example of a class of -means, we observe that a skew power mean is a composition of power means if is an integer.
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.