International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 4, Pages 803-807
doi:10.1155/S0161171291001072
On a generalization of u-means
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.
Abstract
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.