Year: 2015
Author: Wen Wang, Shiguo Yang
Communications in Mathematical Research , Vol. 31 (2015), Iss. 3 : pp. 199–210
Abstract
Schur convexity, Schur geometrical convexity and Schur harmonic convexity of a class of symmetric functions are investigated. As consequences some known inequalities are generalized. In addition, a class of geometric inequalities involving $n$-dimensional simplex in $n$-dimensional Euclidean space $E^n$ and several matrix inequalities are established to show the applications of our results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.03.02
Communications in Mathematical Research , Vol. 31 (2015), Iss. 3 : pp. 199–210
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Schur convex function Schur geometrically convex function Schur harmonically convex function simplex geometric inequality.