Abstract
We give a new necessary condition for a mean to be a Hardy mean. This condition is then applied to completely characterize the Hardy property among: (1) the Gini means, (2) Gaussian products of power means, and (3) symmetric polynomial means.
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Pasteczka, P. On negative results concerning Hardy means. Acta Math. Hungar. 146, 98–106 (2015). https://doi.org/10.1007/s10474-015-0501-1
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DOI: https://doi.org/10.1007/s10474-015-0501-1