A hybrid interpolation-regression operator is defined for numerical integration over ellipses, annuli, and polygons, with an operator norm bound and associated cubature formulas.
Dunkl and Yuan Xu.Orthogonal Polynomials of Several Variables, Second Edition, volume 155 ofEncyclopedia of Mathematics and its Applications
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A mixed interpolation-regression method for numerical integration on some planar domains
A hybrid interpolation-regression operator is defined for numerical integration over ellipses, annuli, and polygons, with an operator norm bound and associated cubature formulas.