Schur convexity for a class of symmetric functions
โ Scribed by YuMing Chu; WeiFeng Xia; TieHong Zhao
- Book ID
- 107348079
- Publisher
- SP Science China Press
- Year
- 2010
- Tongue
- English
- Weight
- 229 KB
- Volume
- 53
- Category
- Article
- ISSN
- 1674-7283
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract This paper investigates the Schur multiplicative and harmonic convexities of the complete symmetric function \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$F\_n(x,r)=\sum \_{i\_1+i\_2+\cdots +i\_n=r}x\_1^{i\_1}x\_2^{i\_2}\ldots x\_n^{i\_n}$\end{document} an
The Schur-convexity at the upper and lower limits of the integral for the mean of a convex function is researched. As applications, a form with a parameter of Stolarsky's mean is obtained and a relevant double inequality that is an extension of a known inequality is established.