Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624330 | Journal of Mathematical Analysis and Applications | 2006 | 13 Pages |
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.
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