A hybrid interpolation-regression operator is defined for numerical integration over ellipses, annuli, and polygons, with an operator norm bound and associated cubature formulas.
An interpolation–regression approach for function approximation on the disk and its application to cubature formulas.Advances in Computational Mathematics, 51:53, 2025
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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.