A multiplicative characterization of the power means

Leinster, T. (2012) A multiplicative characterization of the power means. Bulletin of the London Mathematical Society, 44(1), pp. 106-112. (doi: 10.1112/blms/bdr073)

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Abstract

A startlingly simple characterization of the p-norms has recently been found by Aubrun and Nechita and by Fernández-González, Palazuelos and Pérez-García. We deduce a simple characterization of the power means of order at least 1.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Leinster, Dr Tom
Authors: Leinster, T.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Bulletin of the London Mathematical Society
ISSN:0024-6093
ISSN (Online):1469-2120
Published Online:31 August 2011
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
424771Self similarity - recursively definable objects in topology, analysis category theory and algebraThomas LeinsterEngineering & Physical Sciences Research Council (EPSRC)EP/D073537/1Mathematics