A sharpened version of the fundamental triangle inequality

被引：0

作者：

Wu, Shanhe ^{[1
]}

机构：

[1] Longyan Coll, Dept Math, Longyan 364012, Fujian, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2008年 / 11卷 / 03期

关键词：

triangle; fundamental triangle inequality; Euler's inequality; sharpen;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we show a sharpened version of the classical fundamental triangle inequality, as follows 2R(2) + 10Rr-r(2)-2(R-2r) root R-2 - 2Rr cos phi <= s(2) <= 2R(2) + 10Rr-r(2)+2(R-2r) root R-2 -2Rr cos phi. where phi = [GRAPHICS]

引用

页码：477 / 482

页数：6