On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom
نویسنده
چکیده
Kolmogoroff and Nagumo proved that the quasi-arithmetic means correspond exactly to the decomposable sequences of continuous, symmetric, strictly increasing in each variable and reflexive functions. We replace decomposability and symmetry in this characterization by a generalization of the decomposability. AMS (1991) subject classification: Primary 39B12, 39B22, Secondary 26B35.
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