Strong approximation of special functions of bounded variation functions with prescribed jump direction
Abstract In this note, we show that special functions of bounded variation ( functions with jump normal lying in a prescribed set of directions can be approximated by sequences of functions whose jump set is essentially closed, polyhedral, and preserves the orthogonality to , moreover the functions are smooth away from their jump set.
Authors
- Giuliano Lazzaroni (ORCID: https://orcid.org/0000-0002-3196-6372)
- Piotr Wozniak
- Caterina Ida Zeppieri (ORCID: https://orcid.org/0000-0002-8701-7045)
Institutions
- University of Münster (DE)
- Liceo scientifico statale Ulisse Dini
- University of Florence (IT)
- FH Münster University of Applied Sciences (DE)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2024-12-19
- DOI
- https://doi.org/10.1002/mana.202300346
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni