Some results on Lipschitz quasi-arithmetic means

We present in this paper some properties of <i>k</i>-Lipschitz quasi-arithmetic means. The Lipschitz aggregation operations are stable with respect to input inaccuracies, what is a very important property for applications. Moreover, we provide sufficient conditions to determine when a quasi–arithemetic mean holds the <i>k</i>-Lipschitz property and allow us to calculate the Lipschitz constant <i>k</i>.<br />