EXTENSIONS OF SOME INEQUALITIES

被引：0

作者：

Chen Daoqiof Math Zhejiang Univ Hangzhou ^{[310027
]}

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities | 2001年 / 03期

关键词：

Analytic method; inequality; extension; conjection;

D O I：

暂无

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

摘要：

By using a simple analytic method the following inequalities are proved:(b x+y -a x+y )/(b x-a x)≥[(x+y)/x][(a+b)/2] y, for 00,x+y≥2; (b x+y -a x+y )/(b x-a x)<[(x+y)/x][(a+b)/2] y, for 00,x+y≤2. These inequalities are the extensions of inequalities of Qi Feng, Xu Senlin and Zheng Lin. And a conjection of Qi Feng is proved not true.

引用

页码：241 / 243

页数：3