Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights
Using the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/346132 |
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| _version_ | 1832552204783845376 |
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| author | Jianjun Wang Zuoxiang Peng Shukai Duan Jia Jing |
| author_facet | Jianjun Wang Zuoxiang Peng Shukai Duan Jia Jing |
| author_sort | Jianjun Wang |
| collection | DOAJ |
| description | Using the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights. |
| format | Article |
| id | doaj-art-135fd83a13834093ade760b9b9e69758 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-135fd83a13834093ade760b9b9e697582025-02-03T05:59:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/346132346132Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi WeightsJianjun Wang0Zuoxiang Peng1Shukai Duan2Jia Jing3School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Electronics and Information Engineering, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaUsing the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.http://dx.doi.org/10.1155/2012/346132 |
| spellingShingle | Jianjun Wang Zuoxiang Peng Shukai Duan Jia Jing Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights Journal of Applied Mathematics |
| title | Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights |
| title_full | Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights |
| title_fullStr | Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights |
| title_full_unstemmed | Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights |
| title_short | Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights |
| title_sort | derivatives of multivariate bernstein operators and smoothness with jacobi weights |
| url | http://dx.doi.org/10.1155/2012/346132 |
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