New results on the constrained mock-Chebyshev least squares operator
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.
Authors
- Donatella Occorsio (ORCID: https://orcid.org/0000-0001-9446-4452)
- Federico Nudo (ORCID: https://orcid.org/0000-0003-4418-3817)
- Domenico Mezzanotte (ORCID: https://orcid.org/0000-0001-5154-6538)
- Francesco Dell’Accio (ORCID: https://orcid.org/0000-0003-4879-894X)
Institutions
- University of Basilicata (IT)
- Istituto Nazionale di Alta Matematica Francesco Severi (IT)
- Istituto per le Applicazioni del Calcolo Mauro Picone (IT)
- National Research Council (IT)
- University of Calabria (IT)
Publication Details
- Journal
- Journal of Computational and Applied Mathematics
- Published
- 2025-06-21
- DOI
- https://doi.org/10.1016/j.cam.2025.116859
- Citations
- 3
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 7.89