A multiplicative characterization of the power means
Functional Analysis
2015-09-22 v3 Information Theory
Classical Analysis and ODEs
math.IT
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.
Cite
@article{arxiv.1103.2574,
title = {A multiplicative characterization of the power means},
author = {Tom Leinster},
journal= {arXiv preprint arXiv:1103.2574},
year = {2015}
}
Comments
7 pages. Version 3: references added; minor edits