Generalized Homogeneity of Means
Joint Authors
Pałys, Małgorzata
Sablik, Maciej
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-20
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We extend the classical notions of translativity and homogeneity of means to F-homogeneity, that is, invariance with respect to an operation F:I×I→I.
We find the shape of F for the arithmetic weighted mean and then the general form of F for quasi-linear means.
Also, we are interested in characterizations of means.
It turns out that no quasi-arithmetic mean can be characterized by F-homogeneity with respect to a single operation F, one needs to take two of such operations in order to characterize a mean.
American Psychological Association (APA)
Pałys, Małgorzata& Sablik, Maciej. 2011. Generalized Homogeneity of Means. ISRN Mathematical Analysis،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-454077
Modern Language Association (MLA)
Pałys, Małgorzata& Sablik, Maciej. Generalized Homogeneity of Means. ISRN Mathematical Analysis No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-454077
American Medical Association (AMA)
Pałys, Małgorzata& Sablik, Maciej. Generalized Homogeneity of Means. ISRN Mathematical Analysis. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-454077
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454077
