Sharp bounds for cyclic sums of the ratio of the exradius to the sides of a triangle

被引：0
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作者：
Shan-He Wu
Huan-Peng Yue
Yu-Ming Chu
机构：
[1] Longyan University,Department of Mathematics
[2] Hunan City University,School of Mathematics and Computation Science
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
sharp bounds; triangle; inequality; exradius; ratio-type; 51M16; 26D05; 26D15;
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摘要：
In this paper, sharp bounds for cyclic sums of the ratio of the exradius to the sides of a triangle are established depending on the circumradius and inradius of the triangle. The best possible parameters for the expressions of bounds are derived. Moreover, an alternative bound for the ratio of the exradius to the sides of triangle, expressed by trigonometric functions, is also considered.
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