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A Class of Schur Convex Functions and Several Geometric Inequalities |
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| Authors: | Wang Wen Yang Shi-guo Rong Xiao-chun |
| Affiliation: | School of Mathematics and Statistics, Hefei Normal University, Hefei, 230601 |
| 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 Enand several matrix inequalities are established to show the applications of our results. |
| Keywords: | Schur convex function Schur geometrically convex function Schur har-monically convex function simplex geometric inequality |
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