Vasile Cirtoaje

A Strong Method for Symmetric Homogeneous Polynomial Inequalities of Degree Six in Nonnegative Real Variables

Vasile Cirtoaje · Journal of Advances in Mathematics and Computer Science · 2013

Let f6(x, y, z) be a symmetric homogeneous polynomial of degree six. Based on cancelling the high coefficient of f6(x, y, z), we give some practical sufficient conditions to have f6(x, y, z) ≥ 0 for any nonnegative real variables x, y, z. Some applications are given in order to e...