On the equality of two-variable general functional means

László Losonczi, Zsolt Páles, Amr Zakaria

Given two functions $f,g:I\to \mathbf{R}$ and a probability measure $\mu$ on the Borel subsets of $[0,1]$, the two-variable mean $M_{f,g;\mu }:I^2\to I$ is defined by $$ M_{f,g;μ}(x,y) :…