The Truncated q-Bernstein Polynomials in the Case q>1
The truncated q-Bernstein polynomials Bn,m,qf;x, n∈ℕ, and m∈ℕ0 emerge naturally when the q-Bernstein polynomials of functions vanishing in some neighbourhood of 0 are considered. In this paper, the convergence of the truncated q-polynomials on 0,1 is studied. To support the theoretical results, som...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/126319 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | The truncated q-Bernstein polynomials Bn,m,qf;x, n∈ℕ, and m∈ℕ0 emerge naturally when the q-Bernstein polynomials of functions vanishing in some neighbourhood of 0 are considered. In this paper, the convergence of the truncated q-polynomials on 0,1 is studied. To support the theoretical results, some numerical examples are provided. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |