International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 4, Pages 803-807

On a generalization of u-means

Francois Dubeau

Département de mathématiques, Collège militaire royal de Saint-Jean, Québec, Saint-Jean-sur-Richelieu J0J 1R0, Canada

Received 14 March 1990; Revised 2 October 1990

Copyright © 1991 Francois Dubeau. 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.


In this paper we present an extension of Bauer's work about u-means. We consider a kind of composition of an admissible function u(x) (described by Bauer) and of a compatible function ϕ(x). This construction allows us to define (u,ϕ)-means. When ϕ(x)=x, the (u,ϕ)-means are the u-means introduced by Bauer. The arithmetic, geometric and harmonic means are special cases.