Journal of Applied Mathematics

Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights

Jianjun Wang, Zuoxiang Peng, Shukai Duan, and Jia Jing

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 346132, 9 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495047

Digital Object Identifier
doi:10.1155/2012/346132

Mathematical Reviews number (MathSciNet)
MR2880859

Zentralblatt MATH identifier
1238.41016

Citation

Wang, Jianjun; Peng, Zuoxiang; Duan, Shukai; Jing, Jia. Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights. J. Appl. Math. 2012 (2012), Article ID 346132, 9 pages. doi:10.1155/2012/346132. https://projecteuclid.org/euclid.jam/1355495047


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