KMS Chongqing Institute of Green and Intelligent Technology, CAS
| PROOF OF AN INEQUALITY CONJECTURE FOR A POINT IN THE PLANE OF A TRIANGLE | |
Yang, Yong  ; Chen, Shengli; Huang, Dong; Wang, Xiang; Lin, Xiaoguang
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| 2017-06-01 | |
| 摘要 | In [1] Jian Liu established a novel inequality about an arbitrary point in the plane of a triangle. He also put forward a conjecture about a parameterized version of this inequality. In this paper, we proceed to give a proof of this inequality facilitated by a combination of computer-aided calculations and traditional planar geometry. This proof demonstrates again the strengths of the real algebra methodology develped over time by Ritt, Wu, Yang, Yang, Xia, et. al. |
| 关键词 | Triangle point difference substitution conjecture |
| DOI | 10.7153/jmi-11-34 |
| 发表期刊 | JOURNAL OF MATHEMATICAL INEQUALITIES
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| ISSN | 1846-579X |
| 卷号 | 11期号:2页码:399-411 |
| 通讯作者 | Yang, Y (reprint author), Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing 400714, Peoples R China. |
| 收录类别 | SCI |
| WOS记录号 | WOS:000405107900008 |
| 语种 | 英语 |
