| 一些特殊三角剖分上分片线性样条的最佳逼近问题 |
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| 引用本文： | 王仁宏,但炜. 一些特殊三角剖分上分片线性样条的最佳逼近问题[J]. 数学研究及应用, 2012, 32(1): 1-10 |
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| 作者姓名： | 王仁宏 但炜 |
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| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024; 广东商学院数学与计算机科学学院, 广东 广州 510320 |
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| 基金项目： | 国家自然科学基金(Grant Nos.10271022; 60373093; 60533060; 11101366; 61100130), 中国科学院高温气体动力学重点实验室开放课题基金. |
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| 摘 要： | The critical point set plays a central role in the theory of Tchebyshev approximation.Generally,in multivariate Tchebyshev approximation,it is not a trivial task to determine whether a set is critical or not.In this paper,we study the characterization of the critical point set of S 0 1(△) in geometry,where is restricted to some special triangulations(bitriangular,single road and star triangulations).Such geometrical characterization is convenient to use in the determination of a critical point set.
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| 关 键 词： | Tchebyshev approximation bivariate splines S 0 1(△). |
| 收稿时间： | 2010-03-20 |
| 修稿时间： | 2010-05-28 |
Tchebyshev Approximation by $S_1^0(Delta)$ over Some Special Triangulations |
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| Ren Hong WANG and Wei DAN. Tchebyshev Approximation by $S_1^0(Delta)$ over Some Special Triangulations[J]. Journal of Mathematical Research with Applications, 2012, 32(1): 1-10 |
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| Authors: | Ren Hong WANG and Wei DAN |
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| Affiliation: | School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China;School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China; School of Mathematical and Computational Sciences, Guangdong University of Business Studies, Guangdong 510320, P. R. China |
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| Abstract: | The critical point set plays a central role in the theory of Tchebyshev approximation. Generally, in multivariate Tchebyshev approximation, it is not a trivial task to determine whether a set is critical or not. In this paper, we study the characterization of the critical point set of $S_1^0(Delta)$ in geometry, where $Delta$ is restricted to some special triangulations (bitriangular, single road and star triangulations). Such geometrical characterization is convenient to use in the determination of a critical point set. |
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| Keywords: | Tchebyshev approximation bivariate splines $S_1^0(Delta)$. |
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