Article ID Journal Published Year Pages File Type
4624330 Journal of Mathematical Analysis and Applications 2006 13 Pages PDF
Abstract

We show that every Cauchy mean in (0,∞) can be embedded into two parameter family of weighted means. Some basic properties and examples are presented. A functional equation which appears in the problem of symmetry of these means is considered. As an application a natural extension of Stolarsky's means is obtained and a two parameter subclass of weighted power means is determined.

Related Topics
Physical Sciences and Engineering Mathematics Analysis