Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616539 | Journal of Mathematical Analysis and Applications | 2013 | 8 Pages |
Abstract
In this paper we obtain a new strong type of Steckin inequality for the linear combinations of Bernstein operators, which gives the optimal approximation rate. Moreover, a method to prove lower estimates for linear operators is introduced. As a result the lower estimate for the linear combinations of Bernstein operators is obtained by using the Ditzian-Totik modulus of smoothness.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Linsen Xie,