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Minkowski mean is a generalization of arithmetic , quadratic and harmonic mean .
Minkowski mean is defined as
Example:
When , we have Arithmetic mean
Example:
When , we have Harmonic mean
Example :
When p=2, we have Quadratic mean
However, we do not have a specific p in Minkowski mean to represent Geometric mean because Geometric mean is obtained through the limit of parameter p approaches 0, indicated by the formula below
Use the interactive program below to compute Harmonic mean of a list of numbers separated by comma. You may change with your own input values. Try to change the parameter p to a small number but not zero such as 0.0000000001 and compare the result with
Geometric Mean
.
Table below provides the summary of parameter to relate Minkowski generalized mean and other means.
Name 
Parameter p 
Arithmetic Mean 
p = 1 
Geometric mean 
p approaches 0 (limit) 
Harmonic mean 
p = 1 
Quadratic mean 