On the extension of the Erdös-Mordell type inequalities
Апстракт
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.
Извор:
Mathematical Inequalities & Applications, 2014, 17, 1, 269-281Финансирање / пројекти:
- Развој нових информационо-комуникационих технологија, коришћењем напредних математичких метода, са применама у медицини, телекомуникацијама, енергетици, заштитити националне баштине и образовању (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
- Анализа и алгебра са применама (RS-MESTD-Basic Research (BR or ON)-174032)
Напомена:
- 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
Колекције
Институција/група
GraFarTY - JOUR AU - Malešević, Branko J. AU - Petrović, Maja AU - Obradović, Marija AU - Popkonstantinović, Branislav PY - 2014 UR - https://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", 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. in 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. in Mathematical Inequalities & Applications. 2014;17(1):269-281. doi:10.7153/mia-17-22 .
Malešević, Branko J., Petrović, Maja, Obradović, Marija, Popkonstantinović, Branislav, "On the extension of the Erdös-Mordell type inequalities" in Mathematical Inequalities & Applications, 17, no. 1 (2014):269-281, https://doi.org/10.7153/mia-17-22 . .