Conditional homogeneity and translativity of
Makó–Páles means

Abstract. In this paper we characterize the homogeneous and translative members of the class of Makó–Páles means. This is a common generalization of the classes of weighted
quasi-arithmetic means and Lagrangian means. So, as an application we get the description of homogeneous and translative means also within these classes.

Key words and phrases. Mean, Makó–Páles mean, homogeneity, translativity.