On meaningfulness of means
type: Item
instance of: scholarly article
title: On meaningfulness of means
zbMATH Open document ID: 0853.39010
DOI: 10.1016/0377-0427(95)00010-0
author: János Fodor
author: Marc Roubens
published in: Journal of Computational and Applied Mathematics
publication date: 1997-01-14T00:00:00Z
review text: The authors first list 13 properties of mean values and explore their relationships. Then they offer, among others, characterizations of ordered weighted means [that is, of weighted arithmetic means defined on ordered sets of quantities with each weight depending not on the value but on the place of the quantity in the order] and, in particular, of the minimum, maximum and of the (symmetric) arithmetic mean. The paper of \textit{S.-R. Kim}, which in Ref. [11] and on page 11 is quoted as RUTCOR Technical (research) Report, has since appeared in [Math. Soc. Sci. 20, No. 1, 19-36 (1990; Zbl 0731.92032)].
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 60A05
Mathematics Subject Classification ID: 62G30
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 903541
zbMATH Keywords: meaningfulness
zbMATH Keywords: means
zbMATH Keywords: stability
zbMATH Keywords: order statistics
zbMATH Keywords: ordered weighted mean values
zbMATH Keywords: averaging
zbMATH Keywords: aggregation
zbMATH Keywords: functional equations
zbMATH Keywords: arithmetic means
reviewed by: János Aczél
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00010-0
OpenAlex ID: W2052236553
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description: scientific article; zbMATH DE number 903541