Extension of the Lasserre-Avrachenkov theorem on the integral of multilinear forms over simplices
The Lasserre-Avrachenkov (LA) formula computes the integral over simplex \(\text{conv}(v_0,\dots, v_n)\subset\mathbb{R}^n\) of a multilinear form \(M:(\mathbb{R}^n)^q\to \mathbb{R}\) restricted to the diagonal. The authors show that the LA argument can be extended to prove the like for some nonhomogeneous polynomials.
scientific article; zbMATH DE number 5569546