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.
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