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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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/970659 |
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| _version_ | 1850210747920941056 |
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| author | Jianjun Wang Chan-Yun Yang Shukai Duan |
| author_facet | Jianjun Wang Chan-Yun Yang Shukai Duan |
| author_sort | Jianjun Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-913d50e7792249adbdcb4e9465ca2fe7 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-913d50e7792249adbdcb4e9465ca2fe72025-08-20T02:09:43ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/970659970659Approximation Order for Multivariate Durrmeyer Operators with Jacobi WeightsJianjun Wang0Chan-Yun Yang1Shukai Duan2School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaDepartment of Mechanical Engineering, Technology and Science Institute of Northern Taiwan, No. 2 Xue-Yuan Road, Beitou, Taipei 112, TaiwanSchool of Electronics and Information Engineering, Southwest University, Chongqing 400715, ChinaUsing 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.http://dx.doi.org/10.1155/2011/970659 |
| spellingShingle | Jianjun Wang Chan-Yun Yang Shukai Duan Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights Abstract and Applied Analysis |
| title | Approximation Order for Multivariate
Durrmeyer Operators with Jacobi Weights |
| title_full | Approximation Order for Multivariate
Durrmeyer Operators with Jacobi Weights |
| title_fullStr | Approximation Order for Multivariate
Durrmeyer Operators with Jacobi Weights |
| title_full_unstemmed | Approximation Order for Multivariate
Durrmeyer Operators with Jacobi Weights |
| title_short | Approximation Order for Multivariate
Durrmeyer Operators with Jacobi Weights |
| title_sort | approximation order for multivariate durrmeyer operators with jacobi weights |
| url | http://dx.doi.org/10.1155/2011/970659 |
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