Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights

作者：Wang Jianjun^*; Yang Chan Yun; Duan Shukai

来源：Abstract and Applied Analysis, 2011, 970659.

DOI：10.1155/2011/970659

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.

• 出版日期2011
• 单位西南大学