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The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications

✍ Scribed by Yu-Ming Chu; Wei-Feng Xia; Xiao-Hui Zhang

Book ID: 113726685
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 242 KB
Volume: 105
Category: Article
ISSN: 0047-259X
DOI: 10.1016/j.jmva.2011.08.004

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The Schur multiplicative and harmonic convexities of the complete symmetric function

✍ Y.-M. Chu; G.-D. Wang; X.-H. Zhang 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 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