A generalization of Muirhead's theorem (Q1805226)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A generalization of Muirhead's theorem |
scientific article; zbMATH DE number 753891
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of Muirhead's theorem |
scientific article; zbMATH DE number 753891 |
Statements
A generalization of Muirhead's theorem (English)
0 references
19 November 1995
0 references
A generalization of Muirhead's inequality [see, e.g., \textit{G. H. Hardy}, \textit{J. E. Littlewood} and \textit{G. Pólya}, ``Inequalities'' (1952; Zbl 0047.053, reprint 1988; Zbl 0634.26008), pp. 44-48] from the group of permutations on \(\{1,\dots, n\}\) to finite groups of linear transformations on a real vector space is offered and applied to derive other inequalities.
0 references
arithmetic mean
0 references
geometric mean
0 references
convex hull
0 references
level
0 references
Muirhead's inequality
0 references
groups of linear transformations
0 references
vector space
0 references
