A generalization of Muirhead's theorem
type: Item
instance of: scholarly article
title: A generalization of Muirhead's theorem
zbMATH Open document ID: 0826.26008
DOI: 10.1016/0024-3795(93)00133-K
author: Boris Kimelfeld
published in: Linear Algebra and its Applications
publication date: 1995-11-19T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 20B05
zbMATH DE Number: 753891
zbMATH Keywords: arithmetic mean
zbMATH Keywords: geometric mean
zbMATH Keywords: convex hull
zbMATH Keywords: level
zbMATH Keywords: Muirhead's inequality
zbMATH Keywords: groups of linear transformations
zbMATH Keywords: vector space
reviewed by: János Aczél
MaRDI profile type: Publication
cites work: Inequalities: theory of majorization and its applications
cites work: Permanents
cites work: State Constraints in Convex Control Problems of Bolza
description: scientific article; zbMATH DE number 753891