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Schur convexity for a class of symmetric functions

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


The Schur multiplicative and harmonic co
โœ Y.-M. Chu; G.-D. Wang; X.-H. Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 120 KB

## 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 of the mean of a con
โœ Huan-Nan Shi; Da-Mao Li; Chun Gu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 391 KB

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.