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Symmetric Forms

Published online by Cambridge University Press:  20 November 2018

K. V. Menon
K. V. Menon*
Affiliation:
Dalhousie University, Halifax, Nova Scotia
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Let Rm denote a m dimensional Euclidean space. When x ∊ Rm will write x = (x1, x2,..., xm). Let R+m ={x: x ∊ Rm, xi < 0 for all i} and R-m ={x: x ∊ Rm, xi < 0 for all i}. In this paper we consider a class of functions which consists of mappings, Er(K) and Hr(K) of Rm into R which are indexed by K ∊ R+m and K ∊ R-m respectively, and defined at any point α ∊ Rm by

1.1

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 13 , Issue 1 , March 1970 , pp. 83 - 87
Copyright
Copyright © Canadian Mathematical Society 1970

References

1. Hardy, G. H., Littlewood, J. E., Polya, G., Inequalities, Cambridge Univ. Press (1952), p. 52.Google Scholar
2. Menon, K. V., Inequalities for symmetric functions, Duk. Math. J. 35 (1968), 37-46.Google Scholar
3. Whiteley, J. N., A generalisation of a theorem of Newton, Proc. Amer. Math. Soc. 13 (1962), 144-151.Google Scholar
4. Whiteley, J. N., Some inequalities concerning symmetric forms, Mathematica 5 (1958), 49-56.Google Scholar