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math.CA2026
Equality problem for generalized quasiarithmetic means generated by discontinuous strictly monotonic functions
Tibor Kiss, Paweł Pasteczka
We study the equality problem of generalized quasiarithmetic means for a strictly monotonic generator that is not necessarily continuous. We provide two sufficient conditions t…
math.GM2026
Lattice-like property of quasi-arithmetic means: revisited
Tibor Kiss, Paweł Pasteczka
We show that every family of quasi-arithmetic means generated by (a subset of) functions with nonvanishing derivative which is bounded (from below or from above) by…
math.CA2026
On subadditive quasi-arithmetic means
Zsolt Páles, Paweł Pasteczka
Let be a continuous and strictly monotone function. In the main result of this paper, we show that, for a fixed , the -variable mean…