Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503129 | Journal of Mathematical Analysis and Applications | 2005 | 18 Pages |
Abstract
In this paper, we study multivariate Baskakov operator Bn,d(f,x). We first show that the operator can retain some properties of the original function f, such as monotony, semi-additivity and Lipschitz condition, etc. Secondly, we discuss the monotony on the sequence of multivariate Baskakov operator Bn,d(f,x) for n when the function f is convex. Then, we propose, for estimating the rate of approximation, a new modulus of smoothness and prove the modulus to be equivalent to certain K-functional. Finally, with the modulus of smoothness as metric, we establish a strong direct theorem by using a decomposition technique for the operator.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Feilong Cao, Chunmei Ding, Zongben Xu,