On the Cyclic Homogeneous Polynomial Inequalities of Degree Four of Three Nonnegative Real Variables

نویسندگان

  • MARIYAN MILEV
  • NEDELCHO MILEV
  • M. MILEV
  • N. MILEV
  • Tetsuya Ando
چکیده

Let f (x,y,z) is a cyclic homogeneous polynomial of degree four of three nonnegative real variables satisfying the condition f (1,1,1) = 0 . We find necessary and sufficient condition to be true the inequality f (x,y,z) 0 , for this aim we introduce a characteristic polynomial Jf (t) and by its root t0 > 0 we formulate the condition.

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تاریخ انتشار 2016