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Symmetric Forms

Published online by Cambridge University Press:  20 November 2018

K. V. Menon*
Affiliation:
Dalhousie University, Halifax, Nova Scotia
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Let Rm denote a m dimensional Euclidean space. When xRm 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
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
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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