Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials
| dc.contributor.author | Adell, José A. | |
| dc.contributor.author | Cárdenas-Morales, Daniel | |
| dc.date.accessioned | 2024-01-31T23:23:48Z | |
| dc.date.available | 2024-01-31T23:23:48Z | |
| dc.date.issued | 2022-06-29 | |
| dc.description.abstract | This paper deals with the approximation of functions by the classical Bernstein polynomials in terms of the Ditzian–Totik modulus of smoothness. Asymptotic and non-asymptotic results are respectively stated for continuous and twice continuously differentiable functions. By using a probabilistic approach, known results are either completed or strengthened. | es_ES |
| dc.description.sponsorship | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. This work is partially supported by the Spanish government Research Project PGC2018-097621-B-I00. The second author is also supported by Junta de Andalucía Research Group FQM-0178. | es_ES |
| dc.identifier.citation | Adell, J.A., Cárdenas-Morales, D. Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials. Results Math 77, 166 (2022). | es_ES |
| dc.identifier.issn | 1420-9012 (Electronic) 1422-6383 (Print) | es_ES |
| dc.identifier.other | 10.1007/s00025-022-01680-x | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10953/1883 | |
| dc.language.iso | eng | es_ES |
| dc.publisher | Birkhäuser - Springer | es_ES |
| dc.relation.ispartof | Results in Mathematics | es_ES |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
| dc.subject | Bernstein polynomials | es_ES |
| dc.subject | Ditzian–Totik modulus of smoothness | es_ES |
| dc.subject | Steklov means | es_ES |
| dc.subject | Binomial random variable | es_ES |
| dc.title | Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
Archivos
Bloque original
1 - 1 de 1
Cargando...
- Nombre:
- RESULTS 2022.pdf
- Tamaño:
- 333.61 KB
- Formato:
- Adobe Portable Document Format
- Descripción:
Bloque de licencias
1 - 1 de 1
No hay miniatura disponible
- Nombre:
- license.txt
- Tamaño:
- 1.98 KB
- Formato:
- Item-specific license agreed upon to submission
- Descripción: