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An Inequality for Complete Symmetric Functions

Published online by Cambridge University Press:  20 November 2018

Samuel A. Ilori
Samuel A. Ilori*
Affiliation:
Department of Mathematics, University of Ibadan, Ibadan, Nigeria
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Consider the identity

where aj, …, am are positive real numbers. Then for r = 1, 2, 3, … Tr =Tr(a1, …, am) is called the rth complete symmetric function in a1, …, am (T0=l).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 4 , 01 December 1978 , pp. 503 - 504
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Hardy, G. H., Littlewood, J. E., and Pólya, G., Inequalities. Cambridge University Press, New York, 1934.Google Scholar
2. Menon, K. V., An inequality for elementary symmetric functions. Canad. Math. Bull. vol. 15 (1), 1972, 133-135.Google Scholar
3. Whiteley, J. N., A generalization of a Theorem of Newton. Proc. American Math. Soc. 13 (1962), 144-151.Google Scholar