Quartic Cyclic Homogeneous Polynomial Inequalities of Three Nonnegative Variables
Yuanzhe Zhou · Journal of Advances in Mathematics and Computer Science · 2015
We present and prove a set of necessary and sufficient conditions that the inequality f4(x, y, z) ≥ 0 holds for all nonnegative real variables x, y, z, where f4(x, y, z) is a cyclic homogeneous polynomial of degree four which satisfies f4(1, 1, 1) = 0.
Open access
Research Article
10.9734/BJMCS/2015/16723