涉及循环和的不等式的一些注(英文)

Some Remarks of Inequalities Involving Cyclic Sums

本文的结果 (6 )和 (12 )分别是文 [2 ]中某些三维和n维不等式的加细 .自然 ,也改进了 [1]中的不等式 .两个有趣的公开问题被提出来 .此外 ,注意本文引言中的不等式 (4 )和 (5 )是文 [2 ]中不等式 (3)和 (4 )的更正形式 (见本文注释 2 ) .

We give several refinements of Wen Jiajin and his cooperators'inequalities.Of course,we also improve the 5 th problem of the 26 th(1997) American Mathematical Olympic Competition. Two interesting questions are posed. Moreover,we have corrected two major errors in (see Remark 2).