Article contents
26.—On Shapiro's Cyclic Inequality
Published online by Cambridge University Press: 14 February 2012
Synopsis
The inequality, for suitable sets of non-negative numbers x1, x2, …, xn,
is undecided in the cases n = 11, 12, 13, 15, 17, 19, 21 and 23. In this note we present the results of numerical analysis supporting the conjecture that the inequality is valid in these cases. A new counter–example for n = 25 and a new elementary proof when n = 7 are given.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 75 , Issue 4 , 1976 , pp. 333 - 338
- Copyright
- Copyright © Royal Society of Edinburgh 1976
References
- 3
- Cited by