The Schur Harmonic Convexity of the Hamy Symmetric Function and Its Applications
oleh: Yuming Chu, Yupei Lv
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2009-01-01 |
Deskripsi
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 inequalities are obtained.