不等式への招待第３章

不等式への招待第３章 at MATH

177:１３２人目の素数さん
07/11/13 03:22:28
Shapiro's Cyclic Inequality (google)
URLﾘﾝｸ(www.google.co.jp)

J. Ineq. Appl.
Shapiro’s cyclic inequality for even n (by P. J. Bushell and J. B. Mcleod)
URLﾘﾝｸ(www.hindawi.com)

In 1954 H. S. Shapiro proposed an inequality for a cyclic sum in n
variables. All the numerical evidence indicates that the inequality
is true for even n≤12 and for odd n≤23.
We give an analytic proof for the case n=12, which implies the former
result. The remaining case n=23 remains an open problem.

2002年の時点ではまだ未解決。

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