Abstract
In this paper the so-called invariance equation is studied for weighted nonsymmetric quasi-arithmetic means and solved under continuous differentiability assumptions with respect to the generating functions of the quasi-arithmetic means.
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Daróczy, Z., Páles, Z. The Matkowski–Sutő problem for weighted quasi-arithmetic means. Acta Mathematica Hungarica 100, 237–243 (2003). https://doi.org/10.1023/A:1025093509984
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DOI: https://doi.org/10.1023/A:1025093509984