A remark about positive polynomials

Abstract

Abstract. The following theorem is proved. hold for all k = 0,1,... ,n − 1, then P(x) > 0 for every x ∈ R . THEOREM. Let P(x)=We show that the constantin this theorem cannot be increased. We also present some corollaries of this theorem.Mathematics subject classification (2010): 30C15, 26C10.