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On non-negative forms in real variables some or all of which are non-negative

Published online by Cambridge University Press:  24 October 2008

P. H. Diananda
P. H. Diananda
Affiliation:
Department of MathematicsUniversity of Malaya in Singapore
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Extract

In a recent paper (3) Mordell proposed for solution

PROBLEM 1. To find the constants a1, …, an so that

where xn+i = xi ≥ 0 for all i.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 1 , January 1962 , pp. 17 - 25
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

(1)Diananda, P. H.On a conjecture of L. J. Mordell regarding an inequality involving quadratic forms. J. London Math. Soc. 36 (1961), 185–92.CrossRefGoogle Scholar
(2)Hardy, G. H., Littlewood, J. E. and Pólya, G.Inequalities (Cambridge, 1934).Google Scholar
(3)Mordell, L. J.On the inequality and some others. Abh. Math. Sem. Univ. Hamburg, 22 (1958), 229–40.CrossRefGoogle Scholar