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Schur convexity and Schur multiplicative convexity for a class of symmetric functions with applications

✍ Scribed by Wei-Feng Xia; Yu-Ming Chu


Publisher
Springer
Year
2009
Tongue
English
Weight
151 KB
Volume
61
Category
Article
ISSN
0041-5995

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## 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