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A Cyclic Inequality

Published online by Cambridge University Press:  20 January 2009

R. A. Rankin
R. A. Rankin
Affiliation:
The University, Glasgow
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For any positive integer n and positive real variables x1, x2, …, xn write

where xr is defined for all integers r by the relations

If

and

it is known that (1, 3, 4)

and

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 12 , Issue 3 , June 1961 , pp. 139 - 147
Copyright
Copyright © Edinburgh Mathematical Society 1961

References

REFERENCES

(1)Mordell, L. J., On the inequality and some others, Abh. Math. Sem. Univ. Hamburg, 22 (1958), 229–240.CrossRefGoogle Scholar
(2)Rankin, R. A., An inequality, Math. Gaz. 42 (1958), 39–40.CrossRefGoogle Scholar
(3)Zulauf, A., Note on a conjecture of L. J. Mordell, Abh. Math. Sem. Univ. Hamburg, 22 (1958), 241.Google Scholar
(4)Zulauf, A., On a conjecture of L. J. Mordell II, Math. Gaz., 43 (1959), 182–184.CrossRefGoogle Scholar