Decomposition of homogeneous means and construction of some metric spaces
Decomposition of homogeneous means and construction of some metric spaces
Any (positively) homogeneous mean on (0, ∞) 2 can be decomposed multiplicatively into the arithmetic mean A and a one-place function, called A -index function.Index functions characterize a homogeneous mean in many respects, and their graphs are suitable for geometrical comparisons of several properties of homogeneous means.Moreover, index functions can …