Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights

Jianjun Wang, Chan-Yun Yang and Shukai Duan

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: 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 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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https://doi.org/10.1155/2011/970659

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:970659

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