An explicit representation as quasi-sum of squares of a polynomial generated by the AG inequality

Abstract

Abstract. An explicit representation of the difference (x 1 +· · ·+x n

On a convexity problem

“…The Bernstein type operators verify (27). In this case g n (x, z) = 1 − x + zx and inequality (27) follows from Gusić, [4], Theorem 1 (see also [9], Equation ( 2)), where the following representation is given (a i − a j ) 2 P i,j (a 1 , ..., a m ). ( 28)…”