On the extension of the Erdös-Mordell type inequalities

Malešević, Branko J.; Petrović, Maja; Obradović, Marija; Popkonstantinović, Branislav

doi:10.7153/mia-17-22

2014

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Malešević, Branko J.
Petrović, Maja
Obradović, Marija
Popkonstantinović, Branislav

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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.

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Mathematical Inequalities & Applications, 2014, 17, 1, 269-281

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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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http://grafar.grf.bg.ac.rs/handle/123456789/1020

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TY  - JOUR
AU  - Malešević, Branko J.
AU  - Petrović, Maja
AU  - Obradović, Marija
AU  - Popkonstantinović, Branislav
PY  - 2014
UR  - http://grafar.grf.bg.ac.rs/handle/123456789/1020
AB  - 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.
T2  - Mathematical Inequalities & Applications
T1  - On the extension of the Erdös-Mordell type inequalities
EP  - 281
IS  - 1
SP  - 269
VL  - 17
DO  - 10.7153/mia-17-22
ER  -

@article{
author = "Malešević, Branko J. and Petrović, Maja and Obradović, Marija and Popkonstantinović, Branislav",
year = "2014",
url = "http://grafar.grf.bg.ac.rs/handle/123456789/1020",
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.",
journal = "Mathematical Inequalities & Applications",
title = "On the extension of the Erdös-Mordell type inequalities",
pages = "281-269",
number = "1",
volume = "17",
doi = "10.7153/mia-17-22"
}

Malešević, B. J., Petrović, M., Obradović, M.,& Popkonstantinović, B. (2014). On the extension of the Erdös-Mordell type inequalities.
Mathematical Inequalities & Applications, 17(1), 269-281.
https://doi.org/10.7153/mia-17-22

Malešević BJ, Petrović M, Obradović M, Popkonstantinović B. On the extension of the Erdös-Mordell type inequalities. Mathematical Inequalities & Applications. 2014;17(1):269-281

Malešević Branko J., Petrović Maja, Obradović Marija, Popkonstantinović Branislav, "On the extension of the Erdös-Mordell type inequalities" Mathematical Inequalities & Applications, 17, no. 1 (2014):269-281,
https://doi.org/10.7153/mia-17-22 .