The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions
oleh: Ming-bao Sun, Xin-ping Li, Ying-hui Zhang, Zai-yuan Zhang
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 2018-01-01 |
Deskripsi
We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, in particular, and we give some new geometric inequalities in the n-dimensional space.