Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights

Using the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.

Bibliographic Details
Main Authors: Jianjun Wang, Zuoxiang Peng, Shukai Duan, Jia Jing
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/346132