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arXiv · 2604.24748

A mixed interpolation-regression method for function approximation on certain planar domains

Ruymán Cruz-Barroso·Lidia Fernández·Francisco Marcellán·Juan Antonio Villegas
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Abstract

In this contribution, we introduce a mixed interpolation-regression operator for functions defined on certain planar domains. We focus on an ellipse, an annulus and a polygon. An upper bound for the operator is obtained. Cubature formulas for weight functions defined on these domains are studied. The performance of the interpolation-regression methods is illustrated by numerical examples.

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Ruymán Cruz-Barroso, Lidia Fernández, Francisco Marcellán, Juan Antonio Villegas. 2026-06-10. A mixed interpolation-regression method for function approximation on certain planar domains. https://arxiv.org/abs/2604.24748

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