Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights

Jianjun Wang, Chan-Yun Yang and Shukai Duan

Abstract and Applied Analysis, 2011, vol. 2011, 1-12

Abstract:

Using the equivalence relation between -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 Bernstein-Durrmeyer operators with Jacobi weights on a simplex. The obtained results not only generalize the corresponding ones for Bernstein-Durrmeyer operators, but also give approximation order of Bernstein-Durrmeyer operators.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:970659

DOI: 10.1155/2011/970659

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