Work

Constrained mock-Chebyshev least squares approximation for Hermite interpolation

Year: 2025

Type: article

Abstract: This paper addresses the challenge of function approximation using Hermite interpolation on equally spaced nodes. In this setting, standard polynomial interpolation suffers from the Runge phenomenon. To mitigate this issue, we propose an extension of the constrained mock-Chebyshev least squares approximation technique to Hermite interpolation. This approach leverages both function and derivative evaluations, resulting in more accurate approximations. Numerical experiments are implemented in order to illustrate the effectiveness of the proposed method.

Source: Numerical Algorithms

DOI: 10.1007/s11075-025-02051-7

Authors: Francesco Dell’Accio, Francisco Marcellán, Federico Nudo

Institutions: Istituto per le Applicazioni del Calcolo Mauro Picone, National Research Council, University of Calabria, Universidad Carlos III de Madrid, University of Padua

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per il Calcolo Scientifico, European Regional Development Fund, Agencia Estatal de Investigación