Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights

Using the equivalence relation between K-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex in this paper. We also obtain a characterization for multivariate Be...

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Bibliographic Details
Main Authors: Jianjun Wang, Chan-Yun Yang, Shukai Duan
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/970659