Bound-constrained polynomial optimization using only elementary calculations

We provide a monotone nonincreasing sequence of upper bounds f H k (k≥1) fkH(k≥1) converging to the global minimum of a polynomial <i>f</i> on simple sets like the unit hypercube in ℝ^<i>n</i>. The novelty with respect to the converging sequence of upper bounds in Lasserre [Lasserre JB (2010) A new look at nonnegativity on closed...