A mixed interpolation-regression approximation operator on the triangle
type: Item
instance of: scholarly article
title: A mixed interpolation-regression approximation operator on the triangle
zbMATH Open document ID: 1548.41035
author: Stefano De Marchi
author: F. Dell'Accio
author: Federico Nudo
published in: Dolomites Research Notes on Approximation
publication date: 2024-11-04T00:00:00Z
review text: This paper extends the constrained mock-Chebyshev least squares approximation, successful on rectangular domains, to triangular domains, addressing applications in fields like computational geometry and computer graphics. By using both Waldron points and the well-known discrete Leja points, the method ensures precise interpolation while mitigating the Runge phenomenon often encountered in polynomial interpolation. Numerical results confirm the proposed method's accuracy.
reviewed by: Michele Piconi
Mathematics Subject Classification ID: 41Axx
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D15
zbMATH DE Number: 7938460
zbMATH Keywords: polynomial interpolation
zbMATH Keywords: numerical approximation
MaRDI profile type: Publication
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DOI: 10.14658/PUPJ-DRNA-2024-3-6
description: scientific article; zbMATH DE number 7938460