The Schur Harmonic Convexity of the Hamy Symmetric Function and Its Applications
We prove that the Hamy symmetric function Fn(x,r)=∑1≤i1<i2<⋯<ir≤n(∏j=1rxij)1/r is Schur harmonic convex for x∈R+n. As its applications, some analytic inequalities including the well-known Weierstrass i...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/838529 |