In this paper, we extend the constrained mock-Chebyshev least squares operator to quasi-uniform grids, preserving the accuracy and applicability of the original approach while addressing the practical challenge of quasi-equispaced nodes. Additionally, we provide an improved bound for the norm of the operator by using a refined bound for its coefficient vector through the direct elimination method. Numerical experiments confirm the efficiency of the proposed technique.

New results on the constrained mock-Chebyshev least squares operator

Dell'Accio, Francesco
Membro del Collaboration Group
;
Nudo, Federico
Membro del Collaboration Group
;
Occorsio, Donatella
Membro del Collaboration Group
2026-01-01

Abstract

In this paper, we extend the constrained mock-Chebyshev least squares operator to quasi-uniform grids, preserving the accuracy and applicability of the original approach while addressing the practical challenge of quasi-equispaced nodes. Additionally, we provide an improved bound for the norm of the operator by using a refined bound for its coefficient vector through the direct elimination method. Numerical experiments confirm the efficiency of the proposed technique.
2026
Lebesgue constants
Mock-Chebyshev least squares
Quadrature rules
Quasi-uniform grids
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/387738
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