Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-25T05:01:25.400Z Has data issue: false hasContentIssue false

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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