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A Cyclic Inequality and an Extension of it. II

Published online by Cambridge University Press:  20 January 2009

P. H. Diananda
Affiliation:
Department of Mathematics, The University, Singapore, 10
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Throughout this paper, unless otherwise stated, n and L stand for positive integers and α, t, x, x1, x2, … for positive real numbers. Let

where

and

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1962

References

(1) Diananda, P. H., A cyclic inequality and an extension of it. I, Proc. Edin. Math. Soc., 13 (1962), 7984.Google Scholar
(2) Diananda, P. H., On a cyclic sum, Proc. Glasgow Math. Assoc. (to appear).Google Scholar
(3) Hardy, G. H., Littlewood, J. E. and G., Pólya, Inequalities (Cambridge, 1934).Google Scholar
(4) Rankin, R. A., An inequality, Math. Gaz., 42 (1958), 3940.Google Scholar
(5) Rankin, R. A., A cyclic inequality, Proc. Edin. Math. Soc., 12 (1961), 139147.CrossRefGoogle Scholar
(6) Zulauf, A., On a conjecture of L. J. Mordell II, Math. Gaz. 43 (1959), 182184.Google Scholar