On the extension of the erdos-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 Delta 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.
Кључне речи:
inequality of Child / Erdos-Mordell inequality / Erdos-Mordell curveИзвор:
Mathematical Inequalities & Applications, 2014, 17, 1, 269-281Издавач:
- Element, Zagreb
Финансирање / 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)
DOI: 10.7153/mia-17-22
ISSN: 1331-4343
WoS: 000345460700022
Scopus: 2-s2.0-84896538358
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Malesević, B. AU - Petrović, M. AU - Obradović, Marija AU - Popkonstantinović, Branislav PY - 2014 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1958 AB - We discuss the extension of inequality R-A >= c/a r(b) + b/a r(c) to the plane of triangle Delta 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. PB - Element, Zagreb T2 - Mathematical Inequalities & Applications T1 - On the extension of the erdos-mordell type inequalities EP - 281 IS - 1 SP - 269 VL - 17 DO - 10.7153/mia-17-22 ER -
@article{ author = "Malesević, B. and Petrović, M. 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 Delta 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.", publisher = "Element, Zagreb", journal = "Mathematical Inequalities & Applications", title = "On the extension of the erdos-mordell type inequalities", pages = "281-269", number = "1", volume = "17", doi = "10.7153/mia-17-22" }
Malesević, B., Petrović, M., Obradović, M.,& Popkonstantinović, B.. (2014). On the extension of the erdos-mordell type inequalities. in Mathematical Inequalities & Applications Element, Zagreb., 17(1), 269-281. https://doi.org/10.7153/mia-17-22
Malesević B, Petrović M, Obradović M, Popkonstantinović B. On the extension of the erdos-mordell type inequalities. in Mathematical Inequalities & Applications. 2014;17(1):269-281. doi:10.7153/mia-17-22 .
Malesević, B., Petrović, M., Obradović, Marija, Popkonstantinović, Branislav, "On the extension of the erdos-mordell type inequalities" in Mathematical Inequalities & Applications, 17, no. 1 (2014):269-281, https://doi.org/10.7153/mia-17-22 . .