Name
Abstract | ||
|---|---|---|
It is well known that the degree‐raised Bernstein–Bézier coefficients of degree n of a polynomial g converge to g at the rate 1/n. In this paper we consider the polynomial A n(g) of degree ⩼ n interpolating the coefficients. We show how A n can be viewed as an inverse to the Bernstein polynomial operator and that the derivatives A n(g)(r) converge uniformly to g(r) at the rate 1/n for all r. We also give an asymptotic expansion of Voronovskaya type for A n(g) and discuss some shape preserving properties of this polynomial. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1023/A:1018913118047 | Advances in Computational Mathematics |
Keywords | DocType | Volume |
degree‐raising, Bernstein polynomials, Voronovskaya estimates, 65B17, 41A10, 41A25, 65D05 | Journal | 12 |
Issue | ISSN | Citations |
2 | 1572-9044 | 3 |
PageRank | References | Authors |
0.60 | 3 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael S. Floater | 1 | 1333 | 117.22 |
| Tom Lyche | 2 | 74 | 6.07 |