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

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成果类型:
期刊论文
作者:
Wu, Shan-He;Yue, Huan-Peng;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Wu, Shan-He; Yue, Huan-Peng] Longyan Univ, Dept Math, Fuzhou 364012, Fujian, Peoples R China.
[Chu, Yu-Ming] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Hunan, Peoples R China.
通讯机构:
[Chu, Yu-Ming] H
Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Hunan, Peoples R China.
语种:
英文
关键词:
sharp bounds;triangle;inequality;exradius;ratio-type
期刊:
JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN:
1029-242X
年:
2015
卷:
2015
期:
1
页码:
1-11
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11371125, 61374086]; Natural Science Foundation of Hunan ProvinceNatural Science Foundation of Hunan Province [14JJ2127]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY13A010004]; National Training Programs of China for Undergraduate Innovation and Entrepreneurship [201411312003]; Foundation of Scientific Research Project of Fujian Province Education Department [JK2013051]
机构署名:
本校为通讯机构
院系归属:
理学院
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 trig...

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