Lehmer mean
In mathematics, the Lehmer - agent is a by Derrick Henry Lehmer named, generalized mean.
Definition
The Lehmer means of positive real numbers for the stage is defined as follows:
There is also a form of Lehmer means with (positive) weights. The weighted Lehmer means is:
Properties
For the Lehmer means
- .
- Is the harmonic mean.
- Is the geometric mean of and.
- Is the arithmetic mean.
- .