Inequalities for a class of multivariate operators
文献类型：期刊论文
| 作者 | Zhao,Jianwei |
| 刊名 | Journal of Inequalities and Applications
 |
| 出版日期 | 2012-08-07 |
| 卷号 | 2012期号:1 |
| 关键词 | generalized Bernstein operators direct and inverse inequalities characterization of approximation |
| ISSN号 | 1029-242X |
| DOI | 10.1186/1029-242X-2012-175 |
| 英文摘要 | AbstractThis paper introduces and studies a class of generalized multivariate Bernstein operators defined on the simplex. By means of the modulus of continuity and so-called Ditzian-Totik’s modulus of function, the direct and inverse inequalities for the operators approximating multivariate continuous functions are simultaneously established. From these inequalities, the characterization of approximation of the operators follows. The obtained results include the corresponding ones of the classical Bernstein operators.MSC:41A25, 41A36, 41A60, 41A63. |
| 语种 | 英语 |
| WOS记录号 | BMC:10.1186/1029-242X-2012-175 |
| 出版者 | Springer International Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/284]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao,Jianwei |
| 作者单位 | China Jiliang University; Department of Mathematics |
| 推荐引用方式 GB/T 7714 | Zhao,Jianwei. Inequalities for a class of multivariate operators[J]. Journal of Inequalities and Applications,2012,2012(1). |
| APA | Zhao,Jianwei.(2012).Inequalities for a class of multivariate operators.Journal of Inequalities and Applications,2012(1). |
| MLA | Zhao,Jianwei."Inequalities for a class of multivariate operators".Journal of Inequalities and Applications 2012.1(2012). |
入库方式： OAI收割
来源：数学与系统科学研究院
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