| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621931 | Journal of Mathematical Analysis and Applications | 2007 | 11 Pages |
Abstract
The Schur-convexity and Schur-geometric-convexity of a class of symmetric functions are investigated. As consequences some new proofs of the well-known Ky Fan's inequality and Shapiro's inequality are presented, respectively. We also give another proof of a problem posted by S. Gabler in [S. Gabler, Aufgabe 830, Elem. Math. 3 (1980) 124–125]. Some interesting matrix and geometric inequalities are established to show the applications of our results.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
