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arXiv · 1103.2574

A multiplicative characterization of the power means

Tom Leinster
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Abstract

A startlingly simple characterization of the p-norms has recently been found by Aubrun and Nechita (arXiv:1102.2618) and by Fernandez-Gonzalez, Palazuelos and Perez-Garcia. We deduce a simple characterization of the power means of order greater than or equal to 1.

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Tom Leinster. 2011-06-08. A multiplicative characterization of the power means. https://doi.org/10.1112/blms%2Fbdr073

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