| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9500822 | Journal of Approximation Theory | 2005 | 17 Pages |
Abstract
We characterize the directional derivatives of multidimensional Bernstein operators by a new measure of smoothness. This task is carried out by means of establishing the relation between the asymptotic behavior of the derivatives and the smoothness of the functions they approximate. The obtained results generalize the corresponding ones for univariate Bernstein operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Feilong Cao,