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arXiv · 1504.02371

Limit properties in a family of quasi-arithmetic means

Paweł Pasteczka
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Abstract

It is known that the family of power means tends to maximum pointwise if we pass argument to infinity. We will give some necessary and sufficient condition for the family of quasi-arithmetic means generated by a functions satisfying certain smoothness conditions to have analogous property.

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Paweł Pasteczka. 2015-04-09. Limit properties in a family of quasi-arithmetic means. https://doi.org/10.1007/s00010-015-0398-3

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