Approximation methods in BV for nonlinear generalized sampling series
Abstract We study a nonlinear version of the classical generalized sampling series within the space of functions of bounded variation. In particular, by means of such operators, in the case of kernels of product and averaged type, we obtain a variation-diminishing type estimate and a convergence result. The problem of the rate of approximation is also addressed.
Authors
- Laura Angelonı (ORCID: https://orcid.org/0000-0002-2214-6751)
- Federica Vici
Institutions
- University of Perugia (IT)
Publication Details
- Journal
- Results in Mathematics
- Published
- 2025-05-10
- DOI
- https://doi.org/10.1007/s00025-025-02416-3
- Citations
- 1
- Primary Topic
- Blind Source Separation Techniques
- Type
- article
- Field-Weighted Citation Impact
- 1.49
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Università degli Studi di Perugia
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni