Please use this identifier to cite or link to this item:
https://hdl.handle.net/10953/1883
| Title: | Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials |
| Authors: | Adell, José A. Cárdenas-Morales, Daniel |
| 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. |
| Keywords: | Bernstein polynomials Ditzian–Totik modulus of smoothness Steklov means Binomial random variable |
| Issue Date: | 29-Jun-2022 |
| metadata.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. |
| Publisher: | Birkhäuser - Springer |
| Citation: | Adell, J.A., Cárdenas-Morales, D. Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials. Results Math 77, 166 (2022). |
| Appears in Collections: | DM-Artículos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| RESULTS 2022.pdf | 333,61 kB | Adobe PDF | View/Open |
This item is protected by original copyright |
This item is licensed under a Creative Commons License
