Generalizations of some remarkable inequalities
The Teaching of Mathematics, XVI (2013) no. 1, p. 1
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we present a generalization of Mitrinović's inequality for polygons, and triangles, a generalization of J. Radon's inequality and a generalization of Nesbitt's inequality. The main tool in the proofs is the inequality of Jensen.
Classification :
1AMS97H30 2ZDMH34
Keywords: Jensen inequality, Mitrinović inequality, J. Radon inequality, Bergström inequality, Nesbitt inequality.
Keywords: Jensen inequality, Mitrinović inequality, J. Radon inequality, Bergström inequality, Nesbitt inequality.
@article{TM2_2013_XVI_1_a0,
author = {D. M. Bǎtine\c{t}u-Giurgiu and Neculai Stanciu},
title = {Generalizations of some remarkable inequalities},
journal = {The Teaching of Mathematics},
pages = {1 },
year = {2013},
volume = {XVI},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM2_2013_XVI_1_a0/}
}
D. M. Bǎtineţu-Giurgiu; Neculai Stanciu. Generalizations of some remarkable inequalities. The Teaching of Mathematics, XVI (2013) no. 1, p. 1 . http://geodesic.mathdoc.fr/item/TM2_2013_XVI_1_a0/