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2012 Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights
Jianjun Wang, Zuoxiang Peng, Shukai Duan, Jia Jing
J. Appl. Math. 2012: 1-9 (2012). DOI: 10.1155/2012/346132

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.

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Jianjun Wang. Zuoxiang Peng. Shukai Duan. Jia Jing. "Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights." J. Appl. Math. 2012 1 - 9, 2012. https://doi.org/10.1155/2012/346132

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1238.41016
MathSciNet: MR2880859
Digital Object Identifier: 10.1155/2012/346132

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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