Article contents
Functional means and harmonic functional means
Published online by Cambridge University Press: 17 April 2009
Abstract
For a continuous function f(t) on (0, ∞) which is strictly monotone and a probability measure μ on [0, 1] we introduce the functional mean and the harmonic functional mean of x > 0 and y > 0 with respect to μ by
which gives a unified approach to various famous means.
Moreover, functional means and harmonic means in n variables are also given and applied to get many interesting properties, such as
where
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1998
References
- 3
- Cited by