Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.
@article{bwmeta1.element.doi-10_2478_s11533-013-0346-1,
author = {P\'eter Frenkel and P\'eter Horv\'ath},
title = {Minkowski's inequality and sums of squares},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {510-516},
zbl = {06271173},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0346-1}
}
Péter Frenkel; Péter Horváth. Minkowski’s inequality and sums of squares. Open Mathematics, Tome 12 (2014) pp. 510-516. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0346-1/
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