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A Cyclic Inequality and an Extension of It. I

Published online by Cambridge University Press:  20 January 2009

P. H. Diananda
P. H. Diananda
Affiliation:
Department of Mathematics, University of Malaya in Singapore ††
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For positive integral n and positive real x1, … xn let

Where

and let

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 13 , Issue 1 , June 1962 , pp. 79 - 84
Copyright
Copyright © Edinburgh Mathematical Society 1962

References

REFERENCES

(1) Diananda, P. H., Extensions of an inequality of H. S. Shapiro, Amer. Math. Monthly, 66 (1959), 489–491.Google Scholar
(2) Mordell, L. J., On the inequality and some others, Abh. Math. Sem. Univ. Hamburg, 22 (1958), 229–240.Google Scholar
(3) Rankin, R. A., A cyclic inequality, Proc. Edinb. Math. Soc., 12 (1961), 139–147.CrossRefGoogle Scholar