摘要
改进了文献[1]的证明方法,从而把第42届国际数学奥林匹克试题第2题(简记为IM042-2)及它的一些推广作了进一步的推广,得到两个重要不等式.这使得文献[1],[2],[3],[4],[5]的结论都成为这两个不等式的推论.
This paper improves the proof method in the p aper〔1〕,thus re-generalizing the second question of International Mathematics Olympic. It primarily gets two important inequalities,which make the conclusio ns of the paper 〔1〕,〔2〕,〔3〕,〔4〕 and 〔5〕become the corollaries of these two inequalities.
出处
《绍兴文理学院学报(自然科学版)》
2004年第8期16-18,共3页
Journal of Shaoxing College of Arts and Sciences
关键词
加权平均不等式
IMO
证明方法
变形
inequality
IMO
arithmetic-geometric averag e-weighted inequality