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arXiv · 2605.00046

Lattice-like property of quasi-arithmetic means: revisited

Tibor Kiss·Paweł Pasteczka
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Abstract

We show that every family of quasi-arithmetic means generated by (a subset of) $\mathcal{C}^1$ functions with nonvanishing derivative which is bounded (from below or from above) by a quasi-arithmetic mean, possesses the best (lower or upper) bound which is a quasi-arithmetic mean generated by a function belonging to the same family.

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Tibor Kiss, Paweł Pasteczka. 2026-04-29. Lattice-like property of quasi-arithmetic means: revisited. https://arxiv.org/abs/2605.00046

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