114 citations · 542 across the 90 of their papers we have counts for
4 papers · 1 filter
Simple Formula for Integration of Polynomials on a Simplex
Jean Lasserre
We show that integrating a polynomial of degree t on an arbitrary simplex (with respect to Lebesgue measure) reduces to evaluating t homogeneous polynomials of degree j = 1, 2,. ..…
Determining Projection Constants of Univariate Polynomial Spaces
Simon Foucart, Jean-Bernard Lasserre
The long-standing problem of minimal projections is addressed from a computational point of view. Techniques to determine bounds on the projection constants of univariate polynomia…
The inverse moment problem for convex polytopes
Nick Gravin, Jean Lasserre, Dmitrii Pasechnik +1
The goal of this paper is to present a general and novel approach for the reconstruction of any convex d-dimensional polytope P, from knowledge of its moments. In particular, we sh…
Existence of Gaussian cubature formulas
Jean Lasserre
We provide a necessary and sufficient condition for existence of Gaussian cubature formulas. It consists of checking whether some overdetermined linear system has a solution and so…