On the extension of the Erdös-Mordell type inequalities
Abstract
We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdos-Mordell inequality, and some inequalities of Erdos-Mordell type.
Source:
Mathematical Inequalities & Applications, 2014, 17, 1, 269-281Projects:
- Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education (RS-44006)
- Analysis and algebra with applications (RS-174032)
Note:
- This is the peer-reviewed version of the article: B. J. Malešević, M. Petrović, M. Obradović, and B. Popkonstantinović, ‘On the extension of the Erdös-Mordell type inequalities’, Mathematical Inequalities & Applications, vol. 17, no. 1, pp. 269–281, 2014, http://dx.doi.org/10.7153/mia-17-22
DOI: 10.7153/mia-17-22
ISSN: 1331-4343
WoS: 000345460700022
Scopus: 2-s2.0-84896538358
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