Some measure-theoretic properties of generalized means

Irina Navrotskaya, Patrick J. Rabier

If $\Lambda$ is a measure space, $u:{\Lambda }^m\to \mathbb{R}$ is a given function and $N\ge m,$ the function $U(x_{1},...,x_{N})=\left( \begin{array}{l} N \\ m \end{array} \right) ^{-1}…