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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/970659 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |